Edit Profile (opens in new tab) Schweigert, Christoph Compute Distance To: Compute Author ID: schweigert.christoph Published as: Schweigert, Christoph; Schweigert, C.; Schweigert, Christophe External Links: MGP · ORCID · Wikidata · GND · IdRef · theses.fr Documents Indexed: 115 Publications since 1992, including 2 Books 8 Contributions as Editor Co-Authors: 71 Co-Authors with 119 Joint Publications 2,064 Co-Co-Authors all top 5 Co-Authors 3 single-authored 82 Fuchs, Jürgen 26 Runkel, Ingo 8 Fröhlich, Jürg Martin 6 Stigner, Carl 6 Walcher, Johannes 5 Valentino, Alessandro 5 Woike, Lukas 4 Fjelstad, Jens 4 Nikolaus, Thomas 4 Schaumann, Gregor 4 Schellekens, A. N. 4 Waldorf, Konrad 3 Barmeier, Till 3 Felder, Giovanni 3 Maier, Jennifer 3 Schellekens, Bert 2 Andruskiewitsch, Nicolás 2 Lentner, Simon D. 2 Lerche, Wolfgang 2 Lütken, Carsten A. 2 Pedrini, Bill 1 Bachas, Constantin P. 1 Bahns, Dorothea 1 Bai, Chengming 1 Barvels, Alexander 1 Benini, Marco 1 Birke, Lothar 1 Borisov, Lev A. 1 Bouwknegt, Peter G. 1 Caenepeel, Stefaan 1 Conrady, Florian 1 Douglas, Michael R. 1 Etingof, Pavel Il’ich 1 Farnsteiner, Julian 1 Freed, Daniel Stuart 1 Gaberdiel, Matthias R. 1 Gannon, Terry 1 Gutt, Simone 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 Kong, Liang 1 Koppen, Vincent 1 Krause, Henning 1 Littelmann, Peter 1 Malle, Gunter 1 Meir, Ehud 1 Mickelsson, Jouko 1 Mierach, Svea Nora 1 Müller, Lukas 1 Neeb, Karl-Hermann 1 Ostrik, Victor Valentinovich 1 Peeters, Kasper 1 Priel, Jan 1 Quella, Thomas 1 Ray, Urmie 1 Rejzner, Kasia 1 Schenkel, Alexander 1 Schmidt, Michael Georg 1 Schreiber, Urs 1 Sommerhäuser, Yorck 1 Stolin, Alexander 1 Tropp, Christopher 1 Tsouchnika, Efrossini 1 van Holten, Jan-Willem 1 van Oystaeyen, Freddy 1 Yang, Yang all top 5 Serials 24 Nuclear Physics. B 10 Communications in Mathematical Physics 5 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 Journal of Pure and Applied Algebra 2 Letters in Mathematical Physics 2 Journal of Geometry and Physics 2 Fortschritte der Physik 2 Applied Categorical Structures 2 Journal of Physics A: Mathematical and Theoretical 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 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 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Transformation Groups 1 Algebras and Representation Theory 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Annales Henri Poincaré 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 105 Quantum theory (81-XX) 44 Category theory; homological algebra (18-XX) 27 Nonassociative rings and algebras (17-XX) 19 Manifolds and cell complexes (57-XX) 18 Associative rings and algebras (16-XX) 11 Algebraic geometry (14-XX) 9 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 Statistical mechanics, structure of matter (82-XX) 2 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-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 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-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 102 Publications have been cited 1,598 times in 762 Documents Cited by ▼ Year ▼ TFT construction of RCFT correlators. I: Partition functions. Zbl 0999.81079Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 105 2002 Symmetries, Lie algebras and representations. A graduate course for physicists. Zbl 0923.17001Fuchs, Jürgen; Schweigert, Christoph 81 1997 From Dynkin diagram symmetries to fixed point structures. Zbl 0863.17020Fuchs, Jürgen; Schellekens, Bert; Schweigert, Christoph 71 1996 Systematic approach to cyclic orbifolds. Zbl 1002.17014Borisov, L.; Halpern, M. B.; Schweigert, C. 65 1998 Duality and defects in rational conformal field theory. Zbl 1116.81060Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 64 2007 Correspondences of ribbon categories. Zbl 1087.18006Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 53 2006 The geometry of WZW branes. Zbl 1002.81042Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 51 2000 Bicategories for boundary conditions and for surface defects in 3-d TFT. Zbl 1269.81169Fuchs, Jürgen; Schweigert, Christoph; Valentino, Alessandro 48 2013 Flux stabilization of D-branes. Zbl 0990.81621Bachas, Constantin; Douglas, Michael R.; Schweigert, Christoph 47 2000 TFT construction of RCFT correlators. III: Simple currents. Zbl 1151.81383Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 43 2004 Symmetry breaking boundary conditions and WZW orbifolds. Zbl 0972.81164Birke, Lothar; Fuchs, Jürgen; Schweigert, Christoph 39 1999 A matrix \(S\) for all simple current extensions. Zbl 0921.17014Fuchs, J.; Schellekens, A. N.; Schweigert, C. 38 1996 TFT construction of RCFT correlators. IV: Structure constants and correlation functions. Zbl 1151.81384Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 34 2005 Symmetry breaking boundaries. I: General theory. Zbl 0951.81066Fuchs, Jürgen; Schweigert, Christoph 33 1999 Boundaries, crosscaps and simple currents. Zbl 0976.81090Fuchs, J.; Huiszoon, L. R.; Schellekens, A. N.; Schweigert, C.; Walcher, J. 31 2000 Category theory for conformal boundary conditions. Zbl 1084.17012Fuchs, Jürgen; Schweigert, Christoph 31 2003 TFT Construction of RCFT correlators. V: Proof of modular invariance and factorisation. Zbl 1151.81038Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 30 2006 Correlation functions and boundary conditions in rational conformal field theory and three-dimensional topology. Zbl 1002.81045Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 27 2002 Conformal correlation functions, Frobenius algebras and triangulations. Zbl 0985.81113Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 27 2002 TFT construction of RCFT correlators. II: Unoriented world sheets. Zbl 1097.81736Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 27 2004 Branes: From free fields to general backgrounds. Zbl 0961.81097Fuchs, Jürgen; Schweigert, Christoph 26 1998 Some automorphisms of generalized Kac-Moody algebras. Zbl 0885.17016Fuchs, Jürgen; Ray, Urmie; Schweigert, Christoph 26 1997 Uniqueness of open/closed rational CFT with given algebra of open states. Zbl 1151.81034Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 26 2008 Unoriented WZW models and holonomy of bundle gerbes. Zbl 1148.53057Schreiber, Urs; Schweigert, Christoph; Waldorf, Konrad 25 2007 Topological defects for the free boson CFT. Zbl 1142.81363Fuchs, Jürgen; Gaberdiel, Matthias R.; Runkel, Ingo; Schweigert, Christoph 24 2007 Conformal boundary conditions and three-dimensional topological field theory. Zbl 1038.81520Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 23 2000 Symmetry breaking boundaries. II: More structures; examples. Zbl 0951.81069Fuchs, Jürgen; Schweigert, Christoph 19 2000 Bi-branes: Target space geometry for world sheet topological defects. Zbl 1156.53050Fuchs, Jürgen; Schweigert, Christoph; Waldorf, Konrad 19 2008 Consistent systems of correlators in non-semisimple conformal field theory. Zbl 1355.81034Fuchs, Jürgen; Schweigert, Christoph 18 2017 The action of outer automorphisms on bundles of chiral blocks. Zbl 0962.17017Fuchs, Jürgen; Schweigert, Christoph 15 1999 The resolution of field identification fixed points in diagonal coset theories. Zbl 0921.17013Fuchs, Jürgen; Schellekens, Bert.; Schweigert, Christoph 15 1996 From non-semisimple Hopf algebras to correlation functions for logarithmic CFT. Zbl 1280.81120Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 15 2013 On moduli spaces of flat connections with non-simply connected structure group. Zbl 0942.58019Schweigert, Christoph 14 1997 On the Brauer groups of symmetries of abelian Dijkgraaf-Witten theories. Zbl 1327.81278Fuchs, Jürgen; Priel, Jan; Schweigert, Christoph; Valentino, Alessandro 14 2015 Projections in string theory and boundary states for Gepner models. Zbl 1060.81578Fuchs, Jürgen; Schweigert, Christoph; Walcher, Johannes 13 2000 Equivariance in higher geometry. Zbl 1219.22003Nikolaus, Thomas; Schweigert, Christoph 13 2011 Universality in quantum Hall systems: coset construction of incompressible states. Zbl 0984.81202Fröhlich, Jürg; Pedrini, Bill; Schweigert, Christoph; Walcher, Johannes 12 2001 Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms. Zbl 1296.16029Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 12 2012 Categorification and correlation functions in conformal field theory. Zbl 1099.81048Schweigert, Christoph; Fuchs, Jürgen; Runkel, Ingo 12 2006 Hopf algebras and finite tensor categories in conformal field theory. Zbl 1222.81256Fuchs, Jürgen; Schweigert, Christoph 12 2010 A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories. Zbl 1308.81154Fuchs, Jürgen; Schweigert, Christoph; Valentino, Alessandro 12 2014 Boundary fixed points, enhanced gauge symmetry and singular bundles on \(K3\). Zbl 1046.81538Fuchs, J.; Kaste, P.; Lerche, W.; Lütken, C. A.; Schweigert, C.; Walcher, J. 11 2001 The fusion algebra of bimodule categories. Zbl 1154.18003Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 11 2008 Topological and conformal field theory as Frobenius algebras. Zbl 1154.18006Runkel, Ingo; Fjelstad, Jens; Fuchs, Jürgen; Schweigert, Christoph 11 2007 Solitonic sectors, \(\alpha\)-induction and symmetry breaking boundaries. Zbl 1031.81605Fuchs, Jürgen; Schweigert, Christoph 10 2000 Higher genus mapping class group invariants from factorizable Hopf algebras. Zbl 1305.57033Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 10 2014 Orbifold construction for topological field theories. Zbl 1419.57047Schweigert, Christoph; Woike, Lukas 9 2019 Orbifold analysis of broken bulk symmetries. Zbl 1058.81683Fuchs, Jürgen; Schweigert, Christoph 9 1999 Algebras in tensor categories and coset conformal field theories. Zbl 1052.81090Fröhlich, J.; Fuchs, J.; Runkel, I.; Schweigert, C. 9 2004 Bundle gerbes and surface holonomy. Zbl 1195.53043Fuchs, Jürgen; Nikolaus, Thomas; Schweigert, Christoph; Waldorf, Konrad 9 2010 D-branes on ALE spaces and the ADE classification of conformal field theories. Zbl 0988.81102Lerche, W.; Lütken, C. A.; Schweigert, C. 8 2002 Equivariant modular categories via Dijkgraaf-Witten theory. Zbl 1273.81198Maier, Jennifer; Nikolaus, Thomas; Schweigert, Christoph 8 2012 A note on permutation twist defects in topological bilayer phases. Zbl 1305.57048Fuchs, Jürgen; Schweigert, Christoph 7 2014 Galois modular invariants of WZW models. Zbl 0921.17012Fuchs, J.; Schellekens, A. N.; Schweigert, C. 7 1995 Non-Hermitian symmetric \(N=2\) coset models, Poincaré polynomials, and string compactification. Zbl 1049.81591Fuchs, Jürgen; Schweigert, Christoph 7 1994 Some remarks on defects and T-duality. Zbl 1194.81215Sarkissian, Gor; Schweigert, Christoph 7 2009 Conformal field theory, boundary conditions and applications to string theory. Zbl 0995.81120Schweigert, Christoph; Fuchs, Jürgen; Walcher, Johannes 7 2001 Partially dualized Hopf algebras have equivalent Yetter-Drinfel’d modules. Zbl 1341.16031Barvels, Alexander; Lentner, Simon; Schweigert, Christoph 7 2015 A geometric construction for permutation equivariant categories from modular functors. Zbl 1255.18005Barmeier, T.; Schweigert, C. 7 2011 Extended homotopy quantum field theories and their orbifoldization. Zbl 1429.57031Schweigert, Christoph; Woike, Lukas 7 2020 Galois modular invariants of WZW models. Zbl 1052.81530Fuchs, J.; Schellekens, A. N.; Schweigert, C. 6 1995 Twenty five years of two-dimensional rational conformal field theory. Zbl 1417.81016Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 6 2010 Frobenius algebras and homotopy fixed points of group actions on bicategories. Zbl 1377.18003Hesse, Jan; Schweigert, Christoph; Valentino, Alessandro 6 2017 Hochschild cohomology and the modular group. Zbl 1446.16013Lentner, Simon; Mierach, Svea Nora; Schweigert, Christoph; Sommerhäuser, Yorck 5 2018 On the classification of \(N=2\) superconformal coset theories. Zbl 0771.17019Schweigert, Christoph 5 1992 Module categories for permutation modular invariants. Zbl 1226.18007Barmeier, Till; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 5 2010 Boundaries, defects and Frobenius algebras. Zbl 1033.81514Fuchs, J.; Runkel, I.; Schweigert, C. 5 2003 Eilenberg-Watts calculus for finite categories and a bimodule Radford \(S^4\) theorem. Zbl 1474.16078Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph 5 2020 Gerbes and Lie groups. Zbl 1236.22013Schweigert, Christoph; Waldorf, Konrad 5 2011 Coends in conformal field theory. Zbl 1390.18004Fuchs, Jürgen; Schweigert, Christoph 5 2017 Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions. Zbl 1154.18002Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 5 2007 A trace for bimodule categories. Zbl 1375.18034Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph 5 2017 A parallel section functor for 2-vector bundles. Zbl 1412.18009Schweigert, Christoph; Woike, Lukas 4 2018 Extended geometry of black holes. Zbl 0819.53051Peeters, K.; Schweigert, C.; van Holten, J. W. 4 1995 Level-rank duality of WZW theories and isomorphisms of \(N=2\) coset models. Zbl 0804.17017Fuchs, Jürgen; Schweigert, Christoph 4 1994 On unrolled Hopf algebras. Zbl 1434.16016Andruskiewitsch, Nicolás; Schweigert, Christoph 4 2018 The logarithmic Cardy case: boundary states and annuli. Zbl 1404.81225Fuchs, Jürgen; Gannon, Terry; Schaumann, Gregor; Schweigert, Christoph 3 2018 On the configuration space of gauge theories. Zbl 1049.81556Fuchs, Jürgen; Schmidt, Michael G.; Schweigert, Christoph 3 1994 Quasi-Galois symmetries of the modular \(S\)-matrix. Zbl 0864.17039Fuchs, Jürgen; Schellekens, Bert; Schweigert, Christoph 3 1996 An algorithm for twisted fusion rules. Zbl 1027.17023Quella, Thomas; Runkel, Ingo; Schweigert, Christoph 3 2002 Boundaries, defects and Frobenius algebras. Zbl 1043.81651Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 3 2003 The classifying algebra for defects. Zbl 1207.81142Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 3 2011 WZW fusion rings in the limit of infinite level. Zbl 0890.17027Fuchs, Jürgen; Schweigert, Christoph 2 1997 On the Rosenberg-Zelinsky sequence in Abelian monoidal categories. Zbl 1228.16008Barmeier, Till; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 2 2010 Lie algebra automorphism in conformal field theory. Zbl 1020.17019Fuchs, Jürgen; Schweigert, Christoph 2 2002 A Serre-Swan theorem for gerbe modules on étale Lie groupoids. Zbl 1315.53020Schweigert, Christoph; Tropp, Christopher; Valentino, Alessandro 2 2014 A reason for fusion rules to be even. Zbl 1042.81040Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 2 2002 Symmetries and defects in three-dimensional topological field theory. Zbl 1360.81269Fuchs, Jürgen; Schweigert, Christoph 2 2016 CFT correlators for Cardy bulk fields via string-net models. Zbl 1462.81177Schweigert, Christoph; Yang, Yang 2 2021 Modular categories from finite crossed modules. Zbl 1236.18011Maier, Jennifer; Schweigert, Christoph 2 2011 Kramers-Wannier dualities for WZW theories and minimal models. Zbl 1153.81018Schweigert, Christoph; Tsouchnika, Efrossini 2 2008 Partition functions, mapping class groups and Drinfeld doubles. Zbl 1297.81150Fjelstad, Jens; Fuchs, Jürgen; Stigner, Carl; Schweigert, Christoph 2 2013 Classifying algebras for boundary conditions and traces on spaces of conformal blocks. Zbl 1050.81677Schweigert, Christoph; Fuchs, Jürgen 1 1998 The three-dimensional origin of the classifying algebra. Zbl 1196.81204Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 1 2010 The world sheet revisited. Zbl 1080.81059Schweigert, Christoph; Fuchs, Jürgen 1 2003 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 D-brane conformal field theory and bundles of conformal blocks. Zbl 1023.81038Schweigert, Christoph; Fuchs, Jürgen 1 2001 The Hochschild complex of a finite tensor category. Zbl 07461736Schweigert, Christoph; Woike, Lukas 1 2021 Homotopy coherent mapping class group actions and excision for Hochschild complexes of modular categories. Zbl 1473.18008Schweigert, Christoph; Woike, Lukas 1 2021 Twining characters and Picard groups in rational conformal field theory. Zbl 1139.81386Schweigert, Christoph; Fuchs, Jürgen; Runkel, Ingo 1 2007 CFT correlators for Cardy bulk fields via string-net models. Zbl 1462.81177Schweigert, Christoph; Yang, Yang 2 2021 The Hochschild complex of a finite tensor category. Zbl 07461736Schweigert, Christoph; Woike, Lukas 1 2021 Homotopy coherent mapping class group actions and excision for Hochschild complexes of modular categories. Zbl 1473.18008Schweigert, Christoph; Woike, Lukas 1 2021 Extended homotopy quantum field theories and their orbifoldization. Zbl 1429.57031Schweigert, Christoph; Woike, Lukas 7 2020 Eilenberg-Watts calculus for finite categories and a bimodule Radford \(S^4\) theorem. Zbl 1474.16078Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph 5 2020 Orbifold construction for topological field theories. Zbl 1419.57047Schweigert, Christoph; Woike, Lukas 9 2019 Hochschild cohomology and the modular group. Zbl 1446.16013Lentner, Simon; Mierach, Svea Nora; Schweigert, Christoph; Sommerhäuser, Yorck 5 2018 A parallel section functor for 2-vector bundles. Zbl 1412.18009Schweigert, Christoph; Woike, Lukas 4 2018 On unrolled Hopf algebras. Zbl 1434.16016Andruskiewitsch, Nicolás; Schweigert, Christoph 4 2018 The logarithmic Cardy case: boundary states and annuli. Zbl 1404.81225Fuchs, Jürgen; Gannon, Terry; Schaumann, Gregor; Schweigert, Christoph 3 2018 Consistent systems of correlators in non-semisimple conformal field theory. Zbl 1355.81034Fuchs, Jürgen; Schweigert, Christoph 18 2017 Frobenius algebras and homotopy fixed points of group actions on bicategories. Zbl 1377.18003Hesse, Jan; Schweigert, Christoph; Valentino, Alessandro 6 2017 Coends in conformal field theory. Zbl 1390.18004Fuchs, Jürgen; Schweigert, Christoph 5 2017 A trace for bimodule categories. Zbl 1375.18034Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph 5 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 1360.81269Fuchs, Jürgen; Schweigert, Christoph 2 2016 On the Brauer groups of symmetries of abelian Dijkgraaf-Witten theories. Zbl 1327.81278Fuchs, Jürgen; Priel, Jan; Schweigert, Christoph; Valentino, Alessandro 14 2015 Partially dualized Hopf algebras have equivalent Yetter-Drinfel’d modules. Zbl 1341.16031Barvels, Alexander; Lentner, Simon; Schweigert, Christoph 7 2015 A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories. Zbl 1308.81154Fuchs, Jürgen; Schweigert, Christoph; Valentino, Alessandro 12 2014 Higher genus mapping class group invariants from factorizable Hopf algebras. Zbl 1305.57033Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 10 2014 A note on permutation twist defects in topological bilayer phases. Zbl 1305.57048Fuchs, Jürgen; Schweigert, Christoph 7 2014 A Serre-Swan theorem for gerbe modules on étale Lie groupoids. Zbl 1315.53020Schweigert, Christoph; Tropp, Christopher; Valentino, Alessandro 2 2014 Bicategories for boundary conditions and for surface defects in 3-d TFT. Zbl 1269.81169Fuchs, Jürgen; Schweigert, Christoph; Valentino, Alessandro 48 2013 From non-semisimple Hopf algebras to correlation functions for logarithmic CFT. Zbl 1280.81120Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 15 2013 Partition functions, mapping class groups and Drinfeld doubles. Zbl 1297.81150Fjelstad, Jens; Fuchs, Jürgen; Stigner, Carl; Schweigert, Christoph 2 2013 Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms. Zbl 1296.16029Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 12 2012 Equivariant modular categories via Dijkgraaf-Witten theory. Zbl 1273.81198Maier, Jennifer; Nikolaus, Thomas; Schweigert, Christoph 8 2012 Equivariance in higher geometry. Zbl 1219.22003Nikolaus, Thomas; Schweigert, Christoph 13 2011 A geometric construction for permutation equivariant categories from modular functors. Zbl 1255.18005Barmeier, T.; Schweigert, C. 7 2011 Gerbes and Lie groups. Zbl 1236.22013Schweigert, Christoph; Waldorf, Konrad 5 2011 The classifying algebra for defects. Zbl 1207.81142Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 3 2011 Modular categories from finite crossed modules. Zbl 1236.18011Maier, Jennifer; Schweigert, Christoph 2 2011 Hopf algebras and finite tensor categories in conformal field theory. Zbl 1222.81256Fuchs, Jürgen; Schweigert, Christoph 12 2010 Bundle gerbes and surface holonomy. Zbl 1195.53043Fuchs, Jürgen; Nikolaus, Thomas; Schweigert, Christoph; Waldorf, Konrad 9 2010 Twenty five years of two-dimensional rational conformal field theory. Zbl 1417.81016Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 6 2010 Module categories for permutation modular invariants. Zbl 1226.18007Barmeier, Till; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 5 2010 On the Rosenberg-Zelinsky sequence in Abelian monoidal categories. Zbl 1228.16008Barmeier, Till; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 2 2010 The three-dimensional origin of the classifying algebra. Zbl 1196.81204Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl 1 2010 Some remarks on defects and T-duality. Zbl 1194.81215Sarkissian, Gor; Schweigert, Christoph 7 2009 Uniqueness of open/closed rational CFT with given algebra of open states. Zbl 1151.81034Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 26 2008 Bi-branes: Target space geometry for world sheet topological defects. Zbl 1156.53050Fuchs, Jürgen; Schweigert, Christoph; Waldorf, Konrad 19 2008 The fusion algebra of bimodule categories. Zbl 1154.18003Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 11 2008 Kramers-Wannier dualities for WZW theories and minimal models. Zbl 1153.81018Schweigert, Christoph; Tsouchnika, Efrossini 2 2008 Software course – analysis and linear algebra. A MAPLE workbook with examples and solutions. (Softwarepraktikum – Analysis und lineare Algebra. Ein MAPLE-Arbeitsbuch mit vielen Beispielen und Lösungen.) Zbl 1141.65300Bahns, Dorothea; Schweigert, Christoph 1 2008 Duality and defects in rational conformal field theory. Zbl 1116.81060Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 64 2007 Unoriented WZW models and holonomy of bundle gerbes. Zbl 1148.53057Schreiber, Urs; Schweigert, Christoph; Waldorf, Konrad 25 2007 Topological defects for the free boson CFT. Zbl 1142.81363Fuchs, Jürgen; Gaberdiel, Matthias R.; Runkel, Ingo; Schweigert, Christoph 24 2007 Topological and conformal field theory as Frobenius algebras. Zbl 1154.18006Runkel, Ingo; Fjelstad, Jens; Fuchs, Jürgen; Schweigert, Christoph 11 2007 Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions. Zbl 1154.18002Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 5 2007 Twining characters and Picard groups in rational conformal field theory. Zbl 1139.81386Schweigert, Christoph; Fuchs, Jürgen; Runkel, Ingo 1 2007 Correspondences of ribbon categories. Zbl 1087.18006Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 53 2006 TFT Construction of RCFT correlators. V: Proof of modular invariance and factorisation. Zbl 1151.81038Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 30 2006 Categorification and correlation functions in conformal field theory. Zbl 1099.81048Schweigert, Christoph; Fuchs, Jürgen; Runkel, Ingo 12 2006 TFT construction of RCFT correlators. IV: Structure constants and correlation functions. Zbl 1151.81384Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 34 2005 Picard groups in rational conformal field theory. Zbl 1180.81119Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 1 2005 TFT construction of RCFT correlators. III: Simple currents. Zbl 1151.81383Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 43 2004 TFT construction of RCFT correlators. II: Unoriented world sheets. Zbl 1097.81736Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 27 2004 Algebras in tensor categories and coset conformal field theories. Zbl 1052.81090Fröhlich, J.; Fuchs, J.; Runkel, I.; Schweigert, C. 9 2004 Category theory for conformal boundary conditions. Zbl 1084.17012Fuchs, Jürgen; Schweigert, Christoph 31 2003 Boundaries, defects and Frobenius algebras. Zbl 1033.81514Fuchs, J.; Runkel, I.; Schweigert, C. 5 2003 Boundaries, defects and Frobenius algebras. Zbl 1043.81651Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 3 2003 The world sheet revisited. Zbl 1080.81059Schweigert, Christoph; Fuchs, Jürgen 1 2003 TFT construction of RCFT correlators. I: Partition functions. Zbl 0999.81079Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 105 2002 Correlation functions and boundary conditions in rational conformal field theory and three-dimensional topology. Zbl 1002.81045Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 27 2002 Conformal correlation functions, Frobenius algebras and triangulations. Zbl 0985.81113Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 27 2002 D-branes on ALE spaces and the ADE classification of conformal field theories. Zbl 0988.81102Lerche, W.; Lütken, C. A.; Schweigert, C. 8 2002 An algorithm for twisted fusion rules. Zbl 1027.17023Quella, Thomas; Runkel, Ingo; Schweigert, Christoph 3 2002 Lie algebra automorphism in conformal field theory. Zbl 1020.17019Fuchs, Jürgen; Schweigert, Christoph 2 2002 A reason for fusion rules to be even. Zbl 1042.81040Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 2 2002 Universality in quantum Hall systems: coset construction of incompressible states. Zbl 0984.81202Fröhlich, Jürg; Pedrini, Bill; Schweigert, Christoph; Walcher, Johannes 12 2001 Boundary fixed points, enhanced gauge symmetry and singular bundles on \(K3\). Zbl 1046.81538Fuchs, J.; Kaste, P.; Lerche, W.; Lütken, C. A.; Schweigert, C.; Walcher, J. 11 2001 Conformal field theory, boundary conditions and applications to string theory. Zbl 0995.81120Schweigert, Christoph; Fuchs, Jürgen; Walcher, Johannes 7 2001 D-brane conformal field theory and bundles of conformal blocks. Zbl 1023.81038Schweigert, Christoph; Fuchs, Jürgen 1 2001 The geometry of WZW branes. Zbl 1002.81042Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 51 2000 Flux stabilization of D-branes. Zbl 0990.81621Bachas, Constantin; Douglas, Michael R.; Schweigert, Christoph 47 2000 Boundaries, crosscaps and simple currents. Zbl 0976.81090Fuchs, J.; Huiszoon, L. R.; Schellekens, A. N.; Schweigert, C.; Walcher, J. 31 2000 Conformal boundary conditions and three-dimensional topological field theory. Zbl 1038.81520Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 23 2000 Symmetry breaking boundaries. II: More structures; examples. Zbl 0951.81069Fuchs, Jürgen; Schweigert, Christoph 19 2000 Projections in string theory and boundary states for Gepner models. Zbl 1060.81578Fuchs, Jürgen; Schweigert, Christoph; Walcher, Johannes 13 2000 Solitonic sectors, \(\alpha\)-induction and symmetry breaking boundaries. Zbl 1031.81605Fuchs, Jürgen; Schweigert, Christoph 10 2000 Symmetry breaking boundary conditions and WZW orbifolds. Zbl 0972.81164Birke, Lothar; Fuchs, Jürgen; Schweigert, Christoph 39 1999 Symmetry breaking boundaries. I: General theory. Zbl 0951.81066Fuchs, Jürgen; Schweigert, Christoph 33 1999 The action of outer automorphisms on bundles of chiral blocks. Zbl 0962.17017Fuchs, Jürgen; Schweigert, Christoph 15 1999 Orbifold analysis of broken bulk symmetries. Zbl 1058.81683Fuchs, Jürgen; Schweigert, Christoph 9 1999 Systematic approach to cyclic orbifolds. Zbl 1002.17014Borisov, L.; Halpern, M. B.; Schweigert, C. 65 1998 Branes: From free fields to general backgrounds. Zbl 0961.81097Fuchs, Jürgen; Schweigert, Christoph 26 1998 Classifying algebras for boundary conditions and traces on spaces of conformal blocks. Zbl 1050.81677Schweigert, Christoph; Fuchs, Jürgen 1 1998 Symmetries, Lie algebras and representations. A graduate course for physicists. Zbl 0923.17001Fuchs, Jürgen; Schweigert, Christoph 81 1997 Some automorphisms of generalized Kac-Moody algebras. Zbl 0885.17016Fuchs, Jürgen; Ray, Urmie; Schweigert, Christoph 26 1997 On moduli spaces of flat connections with non-simply connected structure group. Zbl 0942.58019Schweigert, Christoph 14 1997 WZW fusion rings in the limit of infinite level. Zbl 0890.17027Fuchs, Jürgen; Schweigert, Christoph 2 1997 From Dynkin diagram symmetries to fixed point structures. Zbl 0863.17020Fuchs, Jürgen; Schellekens, Bert; Schweigert, Christoph 71 1996 A matrix \(S\) for all simple current extensions. Zbl 0921.17014Fuchs, J.; Schellekens, A. N.; Schweigert, C. 38 1996 The resolution of field identification fixed points in diagonal coset theories. Zbl 0921.17013Fuchs, Jürgen; Schellekens, Bert.; Schweigert, Christoph 15 1996 Quasi-Galois symmetries of the modular \(S\)-matrix. Zbl 0864.17039Fuchs, Jürgen; Schellekens, Bert; Schweigert, Christoph 3 1996 Galois modular invariants of WZW models. Zbl 0921.17012Fuchs, J.; Schellekens, A. N.; Schweigert, C. 7 1995 Galois modular invariants of WZW models. Zbl 1052.81530Fuchs, J.; Schellekens, A. N.; Schweigert, C. 6 1995 Extended geometry of black holes. Zbl 0819.53051Peeters, K.; Schweigert, C.; van Holten, J. W. 4 1995 Non-Hermitian symmetric \(N=2\) coset models, Poincaré polynomials, and string compactification. Zbl 1049.81591Fuchs, Jürgen; Schweigert, Christoph 7 1994 Level-rank duality of WZW theories and isomorphisms of \(N=2\) coset models. Zbl 0804.17017Fuchs, Jürgen; Schweigert, Christoph 4 1994 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 833 Authors 56 Schweigert, Christoph 44 Fuchs, Jürgen 37 Runkel, Ingo 19 Halpern, Martin B. 19 Kong, Liang 17 Schellekens, A. N. 13 Szabo, Richard J. 12 Gainutdinov, Azat M. 12 Gannon, Terry 12 Ivashchuk, Vladimir D. 11 Carqueville, Nils 11 Davydov, Alekseĭ Aleksandrovich 10 Gawȩdzki, Krzysztof 10 Naito, Satoshi 10 Waldorf, Konrad 9 Sagaki, Daisuke 9 Schaumann, Gregor 9 Schomerus, Volker 8 Creutzig, Thomas 8 Xu, Feng 7 Bantay, Peter 7 Brunner, Ilka 7 Bunk, Severin 7 Lentner, Simon D. 7 Semikhatov, Alexei M. 7 Walcher, Johannes 7 Woike, Lukas 6 Fröhlich, Jürg Martin 6 Geer, Nathan 6 Huang, Yi-Zhi 6 Jones, Corey 6 Müller, Lukas 6 Patureau-Mirand, Bertrand 6 Recknagel, Andreas 6 Schellekens, Bert 6 Suszek, Rafał R. 6 Tipunin, Ilya Yu. 5 Bischoff, Marcel 5 Evans, David E. 5 Evslin, Jarah 5 Femić, Bojana 5 Gaberdiel, Matthias R. 5 Georgiev, Lachezar S. 5 Hanany, Amihay 5 Helfgott, C. 5 Kawahigashi, Yasuyuki 5 Lerche, Wolfgang 5 Longo, Roberto 5 Maio, M. 5 Melnikov, Vitaly N. 5 Roggenkamp, Daniel 5 Schreiber, Urs 5 Stigner, Carl 5 Zheng, Hao 4 Coquereaux, Robert 4 Dong, Chongying 4 Gaiotto, Davide 4 Galindo Martínez, César Neyit 4 Huiszoon, Lennaert Rene 4 Hung, Ling-Yan 4 Ishikawa, Hiroshi 4 Kiritsis, Elias B. 4 Mombelli, Martín 4 Müger, Michael 4 Naculich, Stephen G. 4 Nikolaus, Thomas 4 Pfeiffer, Hendryk 4 Schopieray, Andrew 4 Sthanumoorthy, Neelacanta 4 Sugawara, Yuji 4 Valentino, Alessandro 4 Walton, Mark A. 4 Wang, Zhenghan 3 Alekseev, Anton Yu. 3 Argyres, Philip C. 3 Bolokhov, S. V. 3 Bridgeman, Jacob C. 3 Carey, Alan L. 3 Chen, Fulin 3 de Boer, Jan 3 Douglas, Christopher L. 3 Fjelstad, Jens 3 Fredenhagen, Stefan 3 Gomi, Kiyonori 3 Hong, Jiuzu 3 Hu, Jun 3 Jing, Naihuan 3 Kalveks, Rudolph 3 Kong, Fei 3 Krepski, Derek 3 Kwon, Jae-Hoon 3 Lauda, Aaron D. 3 Le Floch, Bruno 3 Lepowsky, James 3 Liendo, Pedro 3 Lilly, P. L. 3 Lütken, Carsten A. 3 Martone, Mario 3 Meusburger, Catherine 3 Mukhopadhyay, Swarnava ...and 733 more Authors all top 5 Cited in 91 Serials 143 Nuclear Physics. 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Studies in History and Philosophy of Modern Physics 2 Computer Physics Communications 2 Compositio Mathematica 2 Glasgow Mathematical Journal 2 Memoirs of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 Annals of Physics 2 Journal of Lie Theory 2 Representation Theory 2 Physical Review Letters 2 Journal of Algebra and its Applications 2 Journal of \(K\)-Theory 2 Advances in Mathematical Physics 1 European Journal of Physics 1 Israel Journal of Mathematics 1 Physics Reports 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tohoku Mathematical Journal. 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Mathematics 1 Kyoto Journal of Mathematics 1 Symmetry 1 Analysis and Mathematical Physics 1 European Journal for Philosophy of Science 1 Mathematics 1 Complex Manifolds 1 Korean Journal of Mathematics all top 5 Cited in 45 Fields 554 Quantum theory (81-XX) 183 Nonassociative rings and algebras (17-XX) 156 Category theory; homological algebra (18-XX) 88 Relativity and gravitational theory (83-XX) 75 Associative rings and algebras (16-XX) 70 Manifolds and cell complexes (57-XX) 60 Differential geometry (53-XX) 55 Algebraic geometry (14-XX) 39 Functional analysis (46-XX) 38 Global analysis, analysis on manifolds (58-XX) 35 Group theory and generalizations (20-XX) 35 Topological groups, Lie groups (22-XX) 32 Algebraic topology (55-XX) 30 Statistical mechanics, structure of matter (82-XX) 16 Number theory (11-XX) 15 \(K\)-theory (19-XX) 15 Several complex variables and analytic spaces (32-XX) 12 Partial differential equations (35-XX) 10 Combinatorics (05-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Commutative algebra (13-XX) 6 Special functions (33-XX) 5 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 3 Information and communication theory, circuits (94-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-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 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 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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