Edit Profile (opens in new tab) Schweigert, Christoph Co-Author Distance Author ID: schweigert.christoph Published as: Schweigert, Christoph; Schweigert, C.; Schweigert, Christophe more...less External Links: MGP · ORCID · Wikidata · GND · IdRef · theses.fr Documents Indexed: 146 Publications since 1992, including 4 Books and 17 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 101 Co-Authors with 151 Joint Publications 2,493 Co-Co-Authors all top 5 Co-Authors 3 single-authored 98 Fuchs, Jürgen 28 Runkel, Ingo 10 Fröhlich, Jürg Martin 9 Woike, Lukas 7 Stigner, Carl 6 Schaumann, Gregor 6 Walcher, Johannes 5 Schellekens, Bert 5 Valentino, Alessandro 5 Waldorf, Konrad 4 Felder, Giovanni 4 Fjelstad, Jens 4 Lentner, Simon D. 4 Nikolaus, Thomas 4 Schellekens, A. N. 3 Barmeier, Till 3 Maier, Jennifer 2 Andruskiewitsch, Nicolás 2 Farnsteiner, Julian 2 Gainutdinov, Azat M. 2 Galindo Martínez, César Neyit 2 Jaklitsch, David 2 Koppen, Vincent 2 Lerche, Wolfgang 2 Lütken, Carsten A. 2 Mierach, Svea Nora 2 Müller, Lukas 2 Pedrini, Bill 2 Sommerhäuser, Yorck 2 Traube, Matthias 2 Yang, Yang 1 Bachas, Constantin P. 1 Bahns, Dorothea 1 Bai, Chengming 1 Barvels, Alexander 1 Benini, Marco 1 Birke, Lothar 1 Bissi, Agnese 1 Borisov, Lev A. 1 Bouwknegt, Peter G. 1 Caenepeel, Stefaan 1 Cardy, John L. 1 Conrady, Florian 1 DeLazzer Meunier, Adrien 1 Dorey, Patrick E. 1 Douglas, Michael R. 1 Drukker, Nadav 1 Erdmenger, Johanna 1 Etingof, Pavel Il’ich 1 Faitg, Matthieu 1 Freed, Daniel Stuart 1 Friedan, Daniel Harry 1 Fursaev, Dmitri V. 1 Gaberdiel, Matthias R. 1 Gannon, Terry 1 Gato-Rivera, Beatriz 1 Gutt, Simone 1 Haegeman, Jutho 1 Haferkamp, Jonas 1 Halpern, Martin B. 1 Hesse, Jan 1 Huang, Yi-Zhi 1 Huiszoon, Lennaert Rene 1 Jurčo, Branislav 1 Kaste, Peter 1 Kawahigashi, Yasuyuki 1 Knötzele, Hannes 1 Konechny, Anatoly 1 Kong, Liang 1 Krause, Henning 1 Kristjansen, Charlotte F. 1 Littelmann, Peter 1 Lootens, Laurens 1 Makabe, Isao 1 Malle, Gunter 1 Meir, Ehud 1 Mickelsson, Jouko 1 Mulevičius, Vincentas 1 Neeb, Karl-Hermann 1 O’Bannon, Andy 1 Ostrik, Victor Valentinovich 1 Parini, Robert 1 Peeters, Kasper 1 Priel, Jan 1 Quella, Thomas 1 Ray, Urmie 1 Rejzner, Katarzyna 1 Robinson, Brandon 1 Sarkissian, Gor 1 Schenkel, Alexander 1 Schmidt-Colinet, Cornelius 1 Schmidt, Michael Georg 1 Schomerus, Volker 1 Schreiber, Urs 1 Stolin, Alexander 1 Tropp, Christopher 1 Tsouchnika, Efrossini 1 van Holten, Jan-Willem 1 van Oystaeyen, Freddy 1 Verstraete, Frank ...and 1 more Co-Authors all top 5 Serials 24 Nuclear Physics. B 11 Communications in Mathematical Physics 7 Advances in Mathematics 5 Theory and Applications of Categories 5 Oberwolfach Reports 4 Physics Letters. B 4 Journal of Algebra 4 Advances in Theoretical and Mathematical Physics 3 Fortschritte der Physik 3 Journal of Pure and Applied Algebra 3 Journal of Physics A: Mathematical and Theoretical 2 Letters in Mathematical Physics 2 Journal of Geometry and Physics 2 Applied Categorical Structures 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Transformation Groups 2 Algebras and Representation Theory 2 Annales Henri Poincaré 2 SpringerBriefs in Mathematical Physics 1 International Journal of Modern Physics A 1 Classical and Quantum Gravity 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Compositio Mathematica 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Revista de la Unión Matemática Argentina 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Annals of Physics 1 Journal of Physics A: Mathematical and General 1 Journal of Knot Theory and its Ramifications 1 Selecta Mathematica. New Series 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Physical Review Letters 1 Algebraic & Geometric Topology 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Mathematical Lectures from Peking University 1 EMS Series of Congress Reports 1 Cambridge Monographs on Mathematical Physics all top 5 Fields 114 Quantum theory (81-XX) 57 Category theory; homological algebra (18-XX) 28 Nonassociative rings and algebras (17-XX) 25 Associative rings and algebras (16-XX) 23 Manifolds and cell complexes (57-XX) 11 Algebraic geometry (14-XX) 10 General and overarching topics; collections (00-XX) 8 Topological groups, Lie groups (22-XX) 7 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Algebraic topology (55-XX) 6 Relativity and gravitational theory (83-XX) 4 Number theory (11-XX) 4 Group theory and generalizations (20-XX) 4 Functional analysis (46-XX) 3 Commutative algebra (13-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Special functions (33-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 2,049 times in 970 Documents Cited by ▼ Year ▼ TFT construction of RCFT correlators. I: Partition functions. Zbl 0999.81079 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 160 2002 Duality and defects in rational conformal field theory. Zbl 1116.81060 Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 107 2007 Symmetries, Lie algebras and representations. A graduate course for physicists. Zbl 0923.17001 Fuchs, Jürgen; Schweigert, Christoph 92 1997 From Dynkin diagram symmetries to fixed point structures. Zbl 0863.17020 Fuchs, Jürgen; Schellekens, Bert; Schweigert, Christoph 81 1996 Systematic approach to cyclic orbifolds. Zbl 1002.17014 Borisov, L.; Halpern, M. B.; Schweigert, C. 75 1998 Correspondences of ribbon categories. Zbl 1087.18006 Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 67 2006 Bicategories for boundary conditions and for surface defects in 3-d TFT. Zbl 1269.81169 Fuchs, Jürgen; Schweigert, Christoph; Valentino, Alessandro 64 2013 Flux stabilization of D-branes. Zbl 0990.81621 Bachas, Constantin; Douglas, Michael R.; Schweigert, Christoph 57 2000 TFT construction of RCFT correlators. III: Simple currents. Zbl 1151.81383 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 55 2004 The geometry of WZW branes. Zbl 1002.81042 Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 55 2000 TFT construction of RCFT correlators. IV: Structure constants and correlation functions. Zbl 1151.81384 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 45 2005 Symmetry breaking boundary conditions and WZW orbifolds. Zbl 0972.81164 Birke, Lothar; Fuchs, Jürgen; Schweigert, Christoph 43 1999 Category theory for conformal boundary conditions. Zbl 1084.17012 Fuchs, Jürgen; Schweigert, Christoph 40 2003 A matrix \(S\) for all simple current extensions. Zbl 0921.17014 Fuchs, J.; Schellekens, A. N.; Schweigert, C. 39 1996 TFT Construction of RCFT correlators. V: Proof of modular invariance and factorisation. Zbl 1151.81038 Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 39 2006 Topological defects for the free boson CFT. Zbl 1142.81363 Fuchs, Jürgen; Gaberdiel, Matthias R.; Runkel, Ingo; Schweigert, Christoph 38 2007 Symmetry breaking boundaries. I: General theory. Zbl 0951.81066 Fuchs, Jürgen; Schweigert, Christoph 36 1999 Boundaries, crosscaps and simple currents. Zbl 0976.81090 Fuchs, J.; Huiszoon, L. R.; Schellekens, A. N.; Schweigert, C.; Walcher, J. 33 2000 TFT construction of RCFT correlators. II: Unoriented world sheets. Zbl 1097.81736 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 33 2004 Conformal correlation functions, Frobenius algebras and triangulations. Zbl 0985.81113 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 32 2002 Correlation functions and boundary conditions in rational conformal field theory and three-dimensional topology. Zbl 1002.81045 Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 30 2002 Uniqueness of open/closed rational CFT with given algebra of open states. Zbl 1151.81034 Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 30 2008 Some automorphisms of generalized Kac-Moody algebras. Zbl 0885.17016 Fuchs, Jürgen; Ray, Urmie; Schweigert, Christoph 29 1997 Unoriented WZW models and holonomy of bundle gerbes. Zbl 1148.53057 Schreiber, Urs; Schweigert, Christoph; Waldorf, Konrad 28 2007 Branes: From free fields to general backgrounds. Zbl 0961.81097 Fuchs, Jürgen; Schweigert, Christoph 26 1998 Consistent systems of correlators in non-semisimple conformal field theory. Zbl 1355.81034 Fuchs, Jürgen; Schweigert, Christoph 26 2017 Conformal boundary conditions and three-dimensional topological field theory. Zbl 1038.81520 Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 25 2000 Bi-branes: Target space geometry for world sheet topological defects. Zbl 1156.53050 Fuchs, Jürgen; Schweigert, Christoph; Waldorf, Konrad 22 2008 Symmetry breaking boundaries. II: More structures; examples. Zbl 0951.81069 Fuchs, Jürgen; Schweigert, Christoph 21 2000 Eilenberg-Watts calculus for finite categories and a bimodule Radford \(S^4\) theorem. Zbl 1474.16078 Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph 20 2020 From non-semisimple Hopf algebras to correlation functions for logarithmic CFT. Zbl 1280.81120 Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 19 2013 On the Brauer groups of symmetries of abelian Dijkgraaf-Witten theories. Zbl 1327.81278 Fuchs, Jürgen; Priel, Jan; Schweigert, Christoph; Valentino, Alessandro 18 2015 The action of outer automorphisms on bundles of chiral blocks. Zbl 0962.17017 Fuchs, Jürgen; Schweigert, Christoph 17 1999 The resolution of field identification fixed points in diagonal coset theories. Zbl 0921.17013 Fuchs, Jürgen; Schellekens, Bert.; Schweigert, Christoph 17 1996 On moduli spaces of flat connections with non-simply connected structure group. Zbl 0942.58019 Schweigert, Christoph 17 1997 Equivariance in higher geometry. Zbl 1219.22003 Nikolaus, Thomas; Schweigert, Christoph 16 2011 Projections in string theory and boundary states for Gepner models. Zbl 1060.81578 Fuchs, Jürgen; Schweigert, Christoph; Walcher, Johannes 16 2000 Algebras in tensor categories and coset conformal field theories. Zbl 1052.81090 Fröhlich, J.; Fuchs, J.; Runkel, I.; Schweigert, C. 16 2004 Categorification and correlation functions in conformal field theory. Zbl 1099.81048 Schweigert, Christoph; Fuchs, Jürgen; Runkel, Ingo 16 2006 Topological and conformal field theory as Frobenius algebras. Zbl 1154.18006 Runkel, Ingo; Fjelstad, Jens; Fuchs, Jürgen; Schweigert, Christoph 16 2007 Hopf algebras and finite tensor categories in conformal field theory. Zbl 1222.81256 Fuchs, Jürgen; Schweigert, Christoph 15 2010 A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories. Zbl 1308.81154 Fuchs, Jürgen; Schweigert, Christoph; Valentino, Alessandro 15 2014 Extended homotopy quantum field theories and their orbifoldization. Zbl 1429.57031 Schweigert, Christoph; Woike, Lukas 15 2020 Boundary and defect CFT: open problems and applications. Zbl 1519.81440 Andrei, N.; Bissi, A.; Buican, M.; Cardy, J.; Dorey, P.; Drukker, N.; Erdmenger, J.; Friedan, D.; Fursaev, D.; Konechny, A.; Kristjansen, C.; Makabe, I.; Nakayama, Y.; O’Bannon, A.; Parini, R.; Robinson, B.; Ryu, S.; Schmidt-Colinet, C.; Schomerus, V.; Schweigert, C.; Watts, G. M. T. 15 2020 Universality in quantum Hall systems: coset construction of incompressible states. Zbl 0984.81202 Fröhlich, Jürg; Pedrini, Bill; Schweigert, Christoph; Walcher, Johannes 14 2001 Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms. Zbl 1296.16029 Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 14 2012 Boundary fixed points, enhanced gauge symmetry and singular bundles on \(K3\). Zbl 1046.81538 Fuchs, J.; Kaste, P.; Lerche, W.; Lütken, C. A.; Schweigert, C.; Walcher, J. 13 2001 Higher genus mapping class group invariants from factorizable Hopf algebras. Zbl 1305.57033 Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 13 2014 The fusion algebra of bimodule categories. Zbl 1154.18003 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 11 2008 Solitonic sectors, \(\alpha\)-induction and symmetry breaking boundaries. Zbl 1031.81605 Fuchs, Jürgen; Schweigert, Christoph 11 2000 Twenty five years of two-dimensional rational conformal field theory. Zbl 1417.81016 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 11 2010 Some remarks on defects and T-duality. Zbl 1194.81215 Sarkissian, Gor; Schweigert, Christoph 11 2009 Equivariant modular categories via Dijkgraaf-Witten theory. Zbl 1273.81198 Maier, Jennifer; Nikolaus, Thomas; Schweigert, Christoph 11 2012 Orbifold construction for topological field theories. Zbl 1419.57047 Schweigert, Christoph; Woike, Lukas 11 2019 Hochschild cohomology and the modular group. Zbl 1446.16013 Lentner, Simon; Mierach, Svea Nora; Schweigert, Christoph; Sommerhäuser, Yorck 10 2018 D-branes on ALE spaces and the ADE classification of conformal field theories. Zbl 0988.81102 Lerche, W.; Lütken, C. A.; Schweigert, C. 10 2002 Partially dualized Hopf algebras have equivalent Yetter-Drinfel’d modules. Zbl 1341.16031 Barvels, Alexander; Lentner, Simon; Schweigert, Christoph 10 2015 Frobenius algebras and homotopy fixed points of group actions on bicategories. Zbl 1377.18003 Hesse, Jan; Schweigert, Christoph; Valentino, Alessandro 10 2017 Bundle gerbes and surface holonomy. Zbl 1195.53043 Fuchs, Jürgen; Nikolaus, Thomas; Schweigert, Christoph; Waldorf, Konrad 9 2010 A geometric construction for permutation equivariant categories from modular functors. Zbl 1255.18005 Barmeier, T.; Schweigert, C. 9 2011 Orbifold analysis of broken bulk symmetries. Zbl 1058.81683 Fuchs, Jürgen; Schweigert, Christoph 9 1999 Galois modular invariants of WZW models. Zbl 0921.17012 Fuchs, J.; Schellekens, A. N.; Schweigert, C. 8 1995 Conformal field theory, boundary conditions and applications to string theory. Zbl 0995.81120 Schweigert, Christoph; Fuchs, Jürgen; Walcher, Johannes 8 2001 A trace for bimodule categories. Zbl 1375.18034 Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph 8 2017 Non-Hermitian symmetric \(N=2\) coset models, Poincaré polynomials, and string compactification. Zbl 1049.81591 Fuchs, Jürgen; Schweigert, Christoph 7 1994 Galois modular invariants of WZW models. Zbl 1052.81530 Fuchs, J.; Schellekens, A. N.; Schweigert, C. 7 1995 Coends in conformal field theory. Zbl 1390.18004 Fuchs, Jürgen; Schweigert, Christoph 7 2017 A note on permutation twist defects in topological bilayer phases. Zbl 1305.57048 Fuchs, Jürgen; Schweigert, Christoph 7 2014 Homotopy coherent mapping class group actions and excision for Hochschild complexes of modular categories. Zbl 1473.18008 Schweigert, Christoph; Woike, Lukas 7 2021 The logarithmic Cardy case: boundary states and annuli. Zbl 1404.81225 Fuchs, Jürgen; Gannon, Terry; Schaumann, Gregor; Schweigert, Christoph 7 2018 Module categories for permutation modular invariants. Zbl 1226.18007 Barmeier, Till; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 6 2010 The Hochschild complex of a finite tensor category. Zbl 1493.13022 Schweigert, Christoph; Woike, Lukas 6 2021 Gerbes and Lie groups. Zbl 1236.22013 Schweigert, Christoph; Waldorf, Konrad 5 2011 On the classification of \(N=2\) superconformal coset theories. Zbl 0771.17019 Schweigert, Christoph 5 1992 Level-rank duality of WZW theories and isomorphisms of \(N=2\) coset models. Zbl 0804.17017 Fuchs, Jürgen; Schweigert, Christoph 5 1994 Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions. Zbl 1154.18002 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 5 2007 Boundaries, defects and Frobenius algebras. Zbl 1033.81514 Fuchs, J.; Runkel, I.; Schweigert, C. 5 2003 A parallel section functor for 2-vector bundles. Zbl 1412.18009 Schweigert, Christoph; Woike, Lukas 5 2018 Extended geometry of black holes. Zbl 0819.53051 Peeters, K.; Schweigert, C.; van Holten, J. W. 4 1995 On unrolled Hopf algebras. Zbl 1434.16016 Andruskiewitsch, Nicolás; Schweigert, Christoph 4 2018 The classifying algebra for defects. Zbl 1207.81142 Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 3 2011 On the configuration space of gauge theories. Zbl 1049.81556 Fuchs, Jürgen; Schmidt, Michael G.; Schweigert, Christoph 3 1994 Quasi-Galois symmetries of the modular \(S\)-matrix. Zbl 0864.17039 Fuchs, Jürgen; Schellekens, Bert; Schweigert, Christoph 3 1996 Boundaries, defects and Frobenius algebras. Zbl 1043.81651 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 3 2003 Modular categories from finite crossed modules. Zbl 1236.18011 Maier, Jennifer; Schweigert, Christoph 3 2011 A Serre-Swan theorem for gerbe modules on étale Lie groupoids. Zbl 1315.53020 Schweigert, Christoph; Tropp, Christopher; Valentino, Alessandro 3 2014 Symmetries and defects in three-dimensional topological field theory. Zbl 1360.81269 Fuchs, Jürgen; Schweigert, Christoph 3 2016 An algorithm for twisted fusion rules. Zbl 1027.17023 Quella, Thomas; Runkel, Ingo; Schweigert, Christoph 3 2002 CFT correlators for Cardy bulk fields via string-net models. Zbl 1462.81177 Schweigert, Christoph; Yang, Yang 3 2021 Domain walls between 3d phases of Reshetikhin-Turaev TQFTs. Zbl 1499.18036 Koppen, Vincent; Mulevičius, Vincentas; Runkel, Ingo; Schweigert, Christoph 3 2022 A reason for fusion rules to be even. Zbl 1042.81040 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 2 2002 Kramers-Wannier dualities for WZW theories and minimal models. Zbl 1153.81018 Schweigert, Christoph; Tsouchnika, Efrossini 2 2008 WZW fusion rings in the limit of infinite level. Zbl 0890.17027 Fuchs, Jürgen; Schweigert, Christoph 2 1997 Partition functions, mapping class groups and Drinfeld doubles. Zbl 1297.81150 Fjelstad, Jens; Fuchs, Jürgen; Stigner, Carl; Schweigert, Christoph 2 2013 Lie algebra automorphism in conformal field theory. Zbl 1020.17019 Fuchs, Jürgen; Schweigert, Christoph 2 2002 Homotopy invariants of braided commutative algebras and the Deligne conjecture for finite tensor categories. Zbl 1521.18015 Schweigert, Christoph; Woike, Lukas 2 2023 Equivariant Morita theory for graded tensor categories. Zbl 1520.18016 Galindo, César; Jaklitsch, David; Schweigert, Christoph 2 2022 On the Rosenberg-Zelinsky sequence in Abelian monoidal categories. Zbl 1228.16008 Barmeier, Till; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 2 2010 The three-dimensional origin of the classifying algebra. Zbl 1196.81204 Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 2 2010 Hochschild cohomology, modular tensor categories, and mapping class groups I. Zbl 07566636 Lentner, Simon; Mierach, Svea Nora; Schweigert, Christoph; Sommerhäuser, Yorck 2 2023 Homotopy invariants of braided commutative algebras and the Deligne conjecture for finite tensor categories. Zbl 1521.18015 Schweigert, Christoph; Woike, Lukas 2 2023 Hochschild cohomology, modular tensor categories, and mapping class groups I. Zbl 07566636 Lentner, Simon; Mierach, Svea Nora; Schweigert, Christoph; Sommerhäuser, Yorck 2 2023 Davydov-Yetter cohomology, comonads and Ocneanu rigidity. Zbl 1509.18016 Gainutdinov, Azat M.; Haferkamp, Jonas; Schweigert, Christoph 2 2023 The differential graded Verlinde formula and the Deligne conjecture. Zbl 07740461 Schweigert, Christoph; Woike, Lukas 1 2023 Internal natural transformations and Frobenius algebras in the Drinfeld center. Zbl 1515.18014 Fuchs, Jürgen; Schweigert, Christoph 1 2023 Domain walls between 3d phases of Reshetikhin-Turaev TQFTs. Zbl 1499.18036 Koppen, Vincent; Mulevičius, Vincentas; Runkel, Ingo; Schweigert, Christoph 3 2022 Equivariant Morita theory for graded tensor categories. Zbl 1520.18016 Galindo, César; Jaklitsch, David; Schweigert, Christoph 2 2022 String-net construction of RCFT correlators. Zbl 1519.81446 Fuchs, Jürgen; Schweigert, Christoph; Yang, Yang 2 2022 A modular functor from state sums for finite tensor categories and their bimodules. Zbl 1494.18012 Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph 2 2022 Homotopy coherent mapping class group actions and excision for Hochschild complexes of modular categories. Zbl 1473.18008 Schweigert, Christoph; Woike, Lukas 7 2021 The Hochschild complex of a finite tensor category. Zbl 1493.13022 Schweigert, Christoph; Woike, Lukas 6 2021 CFT correlators for Cardy bulk fields via string-net models. Zbl 1462.81177 Schweigert, Christoph; Yang, Yang 3 2021 Module Eilenberg-Watts calculus. Zbl 1497.18025 Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph 2 2021 Bulk from boundary in finite CFT by means of pivotal module categories. Zbl 07408613 Fuchs, Jürgen; Schweigert, Christoph 2 2021 Eilenberg-Watts calculus for finite categories and a bimodule Radford \(S^4\) theorem. Zbl 1474.16078 Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph 20 2020 Extended homotopy quantum field theories and their orbifoldization. Zbl 1429.57031 Schweigert, Christoph; Woike, Lukas 15 2020 Boundary and defect CFT: open problems and applications. Zbl 1519.81440 Andrei, N.; Bissi, A.; Buican, M.; Cardy, J.; Dorey, P.; Drukker, N.; Erdmenger, J.; Friedan, D.; Fursaev, D.; Konechny, A.; Kristjansen, C.; Makabe, I.; Nakayama, Y.; O’Bannon, A.; Parini, R.; Robinson, B.; Ryu, S.; Schmidt-Colinet, C.; Schomerus, V.; Schweigert, C.; Watts, G. M. T. 15 2020 Orbifold construction for topological field theories. Zbl 1419.57047 Schweigert, Christoph; Woike, Lukas 11 2019 Full logarithmic conformal field theory – an attempt at a status report. Zbl 07758986 Fuchs, Jürgen; Schweigert, Christoph 1 2019 Hochschild cohomology and the modular group. Zbl 1446.16013 Lentner, Simon; Mierach, Svea Nora; Schweigert, Christoph; Sommerhäuser, Yorck 10 2018 The logarithmic Cardy case: boundary states and annuli. Zbl 1404.81225 Fuchs, Jürgen; Gannon, Terry; Schaumann, Gregor; Schweigert, Christoph 7 2018 A parallel section functor for 2-vector bundles. Zbl 1412.18009 Schweigert, Christoph; Woike, Lukas 5 2018 On unrolled Hopf algebras. Zbl 1434.16016 Andruskiewitsch, Nicolás; Schweigert, Christoph 4 2018 Consistent systems of correlators in non-semisimple conformal field theory. Zbl 1355.81034 Fuchs, Jürgen; Schweigert, Christoph 26 2017 Frobenius algebras and homotopy fixed points of group actions on bicategories. Zbl 1377.18003 Hesse, Jan; Schweigert, Christoph; Valentino, Alessandro 10 2017 A trace for bimodule categories. Zbl 1375.18034 Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph 8 2017 Coends in conformal field theory. Zbl 1390.18004 Fuchs, Jürgen; Schweigert, Christoph 7 2017 Representation theory – Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zbl 1357.14004 1 2017 Symmetries and defects in three-dimensional topological field theory. Zbl 1360.81269 Fuchs, Jürgen; Schweigert, Christoph 3 2016 On the Brauer groups of symmetries of abelian Dijkgraaf-Witten theories. Zbl 1327.81278 Fuchs, Jürgen; Priel, Jan; Schweigert, Christoph; Valentino, Alessandro 18 2015 Partially dualized Hopf algebras have equivalent Yetter-Drinfel’d modules. Zbl 1341.16031 Barvels, Alexander; Lentner, Simon; Schweigert, Christoph 10 2015 A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories. Zbl 1308.81154 Fuchs, Jürgen; Schweigert, Christoph; Valentino, Alessandro 15 2014 Higher genus mapping class group invariants from factorizable Hopf algebras. Zbl 1305.57033 Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 13 2014 A note on permutation twist defects in topological bilayer phases. Zbl 1305.57048 Fuchs, Jürgen; Schweigert, Christoph 7 2014 A Serre-Swan theorem for gerbe modules on étale Lie groupoids. Zbl 1315.53020 Schweigert, Christoph; Tropp, Christopher; Valentino, Alessandro 3 2014 Bicategories for boundary conditions and for surface defects in 3-d TFT. Zbl 1269.81169 Fuchs, Jürgen; Schweigert, Christoph; Valentino, Alessandro 64 2013 From non-semisimple Hopf algebras to correlation functions for logarithmic CFT. Zbl 1280.81120 Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 19 2013 Partition functions, mapping class groups and Drinfeld doubles. Zbl 1297.81150 Fjelstad, Jens; Fuchs, Jürgen; Stigner, Carl; Schweigert, Christoph 2 2013 Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms. Zbl 1296.16029 Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 14 2012 Equivariant modular categories via Dijkgraaf-Witten theory. Zbl 1273.81198 Maier, Jennifer; Nikolaus, Thomas; Schweigert, Christoph 11 2012 Equivariance in higher geometry. Zbl 1219.22003 Nikolaus, Thomas; Schweigert, Christoph 16 2011 A geometric construction for permutation equivariant categories from modular functors. Zbl 1255.18005 Barmeier, T.; Schweigert, C. 9 2011 Gerbes and Lie groups. Zbl 1236.22013 Schweigert, Christoph; Waldorf, Konrad 5 2011 The classifying algebra for defects. Zbl 1207.81142 Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 3 2011 Modular categories from finite crossed modules. Zbl 1236.18011 Maier, Jennifer; Schweigert, Christoph 3 2011 Hopf algebras and finite tensor categories in conformal field theory. Zbl 1222.81256 Fuchs, Jürgen; Schweigert, Christoph 15 2010 Twenty five years of two-dimensional rational conformal field theory. Zbl 1417.81016 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 11 2010 Bundle gerbes and surface holonomy. Zbl 1195.53043 Fuchs, Jürgen; Nikolaus, Thomas; Schweigert, Christoph; Waldorf, Konrad 9 2010 Module categories for permutation modular invariants. Zbl 1226.18007 Barmeier, Till; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 6 2010 On the Rosenberg-Zelinsky sequence in Abelian monoidal categories. Zbl 1228.16008 Barmeier, Till; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 2 2010 The three-dimensional origin of the classifying algebra. Zbl 1196.81204 Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 2 2010 Some remarks on defects and T-duality. Zbl 1194.81215 Sarkissian, Gor; Schweigert, Christoph 11 2009 Uniqueness of open/closed rational CFT with given algebra of open states. Zbl 1151.81034 Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 30 2008 Bi-branes: Target space geometry for world sheet topological defects. Zbl 1156.53050 Fuchs, Jürgen; Schweigert, Christoph; Waldorf, Konrad 22 2008 The fusion algebra of bimodule categories. Zbl 1154.18003 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 11 2008 Kramers-Wannier dualities for WZW theories and minimal models. Zbl 1153.81018 Schweigert, Christoph; Tsouchnika, Efrossini 2 2008 Duality and defects in rational conformal field theory. Zbl 1116.81060 Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 107 2007 Topological defects for the free boson CFT. Zbl 1142.81363 Fuchs, Jürgen; Gaberdiel, Matthias R.; Runkel, Ingo; Schweigert, Christoph 38 2007 Unoriented WZW models and holonomy of bundle gerbes. Zbl 1148.53057 Schreiber, Urs; Schweigert, Christoph; Waldorf, Konrad 28 2007 Topological and conformal field theory as Frobenius algebras. Zbl 1154.18006 Runkel, Ingo; Fjelstad, Jens; Fuchs, Jürgen; Schweigert, Christoph 16 2007 Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions. Zbl 1154.18002 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 5 2007 Twining characters and Picard groups in rational conformal field theory. Zbl 1139.81386 Schweigert, Christoph; Fuchs, Jürgen; Runkel, Ingo 1 2007 Correspondences of ribbon categories. Zbl 1087.18006 Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 67 2006 TFT Construction of RCFT correlators. V: Proof of modular invariance and factorisation. Zbl 1151.81038 Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 39 2006 Categorification and correlation functions in conformal field theory. Zbl 1099.81048 Schweigert, Christoph; Fuchs, Jürgen; Runkel, Ingo 16 2006 TFT construction of RCFT correlators. IV: Structure constants and correlation functions. Zbl 1151.81384 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 45 2005 Picard groups in rational conformal field theory. Zbl 1180.81119 Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 1 2005 TFT construction of RCFT correlators. III: Simple currents. Zbl 1151.81383 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 55 2004 TFT construction of RCFT correlators. II: Unoriented world sheets. Zbl 1097.81736 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 33 2004 Algebras in tensor categories and coset conformal field theories. Zbl 1052.81090 Fröhlich, J.; Fuchs, J.; Runkel, I.; Schweigert, C. 16 2004 Category theory for conformal boundary conditions. Zbl 1084.17012 Fuchs, Jürgen; Schweigert, Christoph 40 2003 Boundaries, defects and Frobenius algebras. Zbl 1033.81514 Fuchs, J.; Runkel, I.; Schweigert, C. 5 2003 Boundaries, defects and Frobenius algebras. Zbl 1043.81651 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 3 2003 The world sheet revisited. Zbl 1080.81059 Schweigert, Christoph; Fuchs, Jürgen 1 2003 TFT construction of RCFT correlators. I: Partition functions. Zbl 0999.81079 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 160 2002 Conformal correlation functions, Frobenius algebras and triangulations. Zbl 0985.81113 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 32 2002 Correlation functions and boundary conditions in rational conformal field theory and three-dimensional topology. Zbl 1002.81045 Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 30 2002 D-branes on ALE spaces and the ADE classification of conformal field theories. Zbl 0988.81102 Lerche, W.; Lütken, C. A.; Schweigert, C. 10 2002 An algorithm for twisted fusion rules. Zbl 1027.17023 Quella, Thomas; Runkel, Ingo; Schweigert, Christoph 3 2002 A reason for fusion rules to be even. Zbl 1042.81040 Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 2 2002 Lie algebra automorphism in conformal field theory. Zbl 1020.17019 Fuchs, Jürgen; Schweigert, Christoph 2 2002 Universality in quantum Hall systems: coset construction of incompressible states. Zbl 0984.81202 Fröhlich, Jürg; Pedrini, Bill; Schweigert, Christoph; Walcher, Johannes 14 2001 Boundary fixed points, enhanced gauge symmetry and singular bundles on \(K3\). Zbl 1046.81538 Fuchs, J.; Kaste, P.; Lerche, W.; Lütken, C. A.; Schweigert, C.; Walcher, J. 13 2001 Conformal field theory, boundary conditions and applications to string theory. Zbl 0995.81120 Schweigert, Christoph; Fuchs, Jürgen; Walcher, Johannes 8 2001 D-brane conformal field theory and bundles of conformal blocks. Zbl 1023.81038 Schweigert, Christoph; Fuchs, Jürgen 1 2001 Flux stabilization of D-branes. Zbl 0990.81621 Bachas, Constantin; Douglas, Michael R.; Schweigert, Christoph 57 2000 The geometry of WZW branes. Zbl 1002.81042 Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 55 2000 Boundaries, crosscaps and simple currents. Zbl 0976.81090 Fuchs, J.; Huiszoon, L. R.; Schellekens, A. N.; Schweigert, C.; Walcher, J. 33 2000 Conformal boundary conditions and three-dimensional topological field theory. Zbl 1038.81520 Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 25 2000 Symmetry breaking boundaries. II: More structures; examples. Zbl 0951.81069 Fuchs, Jürgen; Schweigert, Christoph 21 2000 Projections in string theory and boundary states for Gepner models. Zbl 1060.81578 Fuchs, Jürgen; Schweigert, Christoph; Walcher, Johannes 16 2000 Solitonic sectors, \(\alpha\)-induction and symmetry breaking boundaries. Zbl 1031.81605 Fuchs, Jürgen; Schweigert, Christoph 11 2000 Symmetry breaking boundary conditions and WZW orbifolds. Zbl 0972.81164 Birke, Lothar; Fuchs, Jürgen; Schweigert, Christoph 43 1999 Symmetry breaking boundaries. I: General theory. Zbl 0951.81066 Fuchs, Jürgen; Schweigert, Christoph 36 1999 The action of outer automorphisms on bundles of chiral blocks. Zbl 0962.17017 Fuchs, Jürgen; Schweigert, Christoph 17 1999 Orbifold analysis of broken bulk symmetries. Zbl 1058.81683 Fuchs, Jürgen; Schweigert, Christoph 9 1999 Systematic approach to cyclic orbifolds. Zbl 1002.17014 Borisov, L.; Halpern, M. B.; Schweigert, C. 75 1998 Branes: From free fields to general backgrounds. Zbl 0961.81097 Fuchs, Jürgen; Schweigert, Christoph 26 1998 D-brane conformal field theory. Zbl 1050.81673 Fuchs, Jürgen; Schweigert, Christoph 1 1998 Classifying algebras for boundary conditions and traces on spaces of conformal blocks. Zbl 1050.81677 Schweigert, Christoph; Fuchs, Jürgen 1 1998 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,064 Authors 69 Schweigert, Christoph 48 Fuchs, Jürgen 43 Runkel, Ingo 20 Halpern, Martin B. 20 Kong, Liang 18 Schellekens, A. N. 17 Gainutdinov, Azat M. 14 Gannon, Terry 14 Woike, Lukas 13 Carqueville, Nils 13 Szabo, Richard J. 13 Xu, Feng 12 Ivashchuk, Vladimir D. 11 Davydov, Alekseĭ Aleksandrovich 11 Sarkissian, Gor 11 Waldorf, Konrad 10 Gawȩdzki, Krzysztof 10 Müller, Lukas 10 Naito, Satoshi 10 Schaumann, Gregor 10 Schomerus, Volker 9 Brunner, Ilka 9 Creutzig, Thomas 9 Sagaki, Daisuke 9 Shimizu, Kenichi 8 Bunk, Severin 7 Bantay, Peter 7 Fröhlich, Jürg Martin 7 Geer, Nathan 7 Hanany, Amihay 7 Huang, Yi-Zhi 7 Jones, Corey 7 Lentner, Simon D. 7 Patureau-Mirand, Bertrand 7 Roggenkamp, Daniel 7 Schreiber, Urs 7 Semikhatov, Alexei M. 7 Walcher, Johannes 6 Evans, David E. 6 Galindo Martínez, César Neyit 6 Georgiev, Lachezar S. 6 Gomis, Jaume 6 Lin, Ying-Hsuan 6 Recknagel, Andreas 6 Schellekens, Bert 6 Shao, Shu-Heng 6 Suszek, Rafał R. 6 Tachikawa, Yuji 6 Tipunin, Ilya Yu. 6 Zheng, Hao 5 Bischoff, Marcel 5 Bridgeman, Jacob C. 5 Dong, Chongying 5 Evslin, Jarah 5 Femić, Bojana 5 Fredenhagen, Stefan 5 Gaberdiel, Matthias R. 5 Gaiotto, Davide 5 Helfgott, C. 5 Hung, Ling-Yan 5 Kalveks, Rudolph 5 Kawahigashi, Yasuyuki 5 Lerche, Wolfgang 5 Longo, Roberto 5 Maio, M. 5 Melnikov, Vitaly N. 5 Mombelli, Martín 5 Rodríguez-Gómez, Diego 5 Sati, Hisham 5 Steinacker, Harold 5 Stigner, Carl 5 Wan, Yidun 4 Buican, Matthew 4 Capizzi, Luca 4 Chen, Fulin 4 Coquereaux, Robert 4 Govindarajan, Suresh 4 Gutperle, Michael 4 Hong, Jiuzu 4 Huiszoon, Lennaert Rene 4 Ishikawa, Hiroshi 4 Jayaraman, T. S. 4 Jing, Naihuan 4 Kaidi, Justin 4 Kiritsis, Elias B. 4 Konechny, Anatoly 4 Kong, Fei 4 Krepski, Derek 4 Laugwitz, Robert 4 Le Floch, Bruno 4 Lepowsky, James 4 Mekareeya, Noppadol 4 Meusburger, Catherine 4 Müger, Michael 4 Naculich, Stephen G. 4 Nikolaus, Thomas 4 Penneys, David 4 Pfeiffer, Hendryk 4 Plavnik, Julia Yael 4 Robbins, Daniel G. ...and 964 more Authors all top 5 Cited in 103 Serials 207 Journal of High Energy Physics 148 Nuclear Physics. B 116 Communications in Mathematical Physics 35 Journal of Algebra 34 Journal of Mathematical Physics 34 Advances in Mathematics 29 International Journal of Modern Physics A 25 Journal of Geometry and Physics 22 Letters in Mathematical Physics 18 Journal of Pure and Applied Algebra 17 Journal of Physics A: Mathematical and Theoretical 12 Reviews in Mathematical Physics 11 Communications in Algebra 11 Communications in Contemporary Mathematics 9 Fortschritte der Physik 9 Transactions of the American Mathematical Society 9 Journal of Knot Theory and its Ramifications 9 Selecta Mathematica. New Series 9 Algebras and Representation Theory 8 Applied Categorical Structures 7 International Journal of Mathematics 7 Quantum Topology 6 Physics Letters. B 6 Proceedings of the American Mathematical Society 6 Theory and Applications of Categories 6 Annales Henri Poincaré 6 Gravitation & Cosmology 6 SIGMA. 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Mathematics 1 Symmetry 1 Analysis and Mathematical Physics 1 European Journal for Philosophy of Science 1 Mathematics ...and 3 more Serials all top 5 Cited in 48 Fields 704 Quantum theory (81-XX) 215 Category theory; homological algebra (18-XX) 207 Nonassociative rings and algebras (17-XX) 107 Relativity and gravitational theory (83-XX) 102 Associative rings and algebras (16-XX) 98 Manifolds and cell complexes (57-XX) 68 Algebraic geometry (14-XX) 63 Differential geometry (53-XX) 45 Functional analysis (46-XX) 42 Topological groups, Lie groups (22-XX) 42 Statistical mechanics, structure of matter (82-XX) 41 Group theory and generalizations (20-XX) 40 Global analysis, analysis on manifolds (58-XX) 39 Algebraic topology (55-XX) 20 Number theory (11-XX) 18 \(K\)-theory (19-XX) 17 Partial differential equations (35-XX) 16 Several complex variables and analytic spaces (32-XX) 15 Dynamical systems and ergodic theory (37-XX) 13 Combinatorics (05-XX) 13 Commutative algebra (13-XX) 8 Mechanics of particles and systems (70-XX) 6 Special functions (33-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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