Edit Profile Kaufmann, Ralph M. Compute Distance To: Compute Author ID: kaufmann.ralph-m Published as: Kaufmann, R.; Kaufmann, Ralph; Kaufmann, Ralph M. Homepage: http://www.math.purdue.edu/~rkaufman/ External Links: MGP · Wikidata Documents Indexed: 44 Publications since 1995, including 2 Books all top 5 Co-Authors 22 single-authored 7 Wehefritz-Kaufmann, Birgit 5 Khlebnikov, Sergei 2 Gálvez-Carrillo, Imma 2 Jarvis, Tyler J. 2 Kimura, Takashi 2 Penner, Robert C. 2 Tonks, Andrew 2 Ward, Benjamin C. 1 Berger, Clemens 1 Borisov, Lev A. 1 Li, Dan 1 Livernet, Muriel 1 Lucas, Jason 1 Manin, Yuri Ivanovich 1 Pham, David N. 1 Schwell, R. 1 Zagier, Don Bernard 1 Zhang, Yongheng 1 Zúñiga, J. Javier all top 5 Serials 4 Journal of Noncommutative Geometry 3 International Journal of Mathematics 2 Communications in Mathematical Physics 2 Advances in Mathematics 2 Communications in Number Theory and Physics 1 International Journal of Modern Physics A 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal of Algebra 1 Topology 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Annals of Physics 1 Mathematical Research Letters 1 Geometry & Topology 1 Annales Henri Poincaré 1 Algebraic & Geometric Topology 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Astérisque 1 Bonner Mathematische Schriften 1 Tbilisi Mathematical Journal 1 Journal of Singularities all top 5 Fields 23 Quantum theory (81-XX) 16 Associative rings and algebras (16-XX) 15 Algebraic geometry (14-XX) 15 Algebraic topology (55-XX) 14 Category theory; homological algebra (18-XX) 12 Differential geometry (53-XX) 9 Manifolds and cell complexes (57-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Nonassociative rings and algebras (17-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 \(K\)-theory (19-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 37 Publications have been cited 289 times in 152 Documents Cited by ▼ Year ▼ Stringy K-theory and the Chern character. Zbl 1132.14047Jarvis, Tyler J.; Kaufmann, Ralph; Kimura, Takashi 24 2007 Orbifolding Frobenius algebras. Zbl 1083.57037Kaufmann, Ralph M. 21 2003 Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves. Zbl 0890.14011Kaufmann, R.; Manin, Yu.; Zagier, D. 20 1996 A proof of a cyclic version of Deligne’s conjecture via cacti. Zbl 1161.55001Kaufmann, Ralph M. 18 2008 On spineless cacti, Deligne’s conjecture and Connes-Kreimer’s Hopf algebra. Zbl 1140.55008Kaufmann, Ralph M. 17 2007 On several varieties of cacti and their relations. Zbl 1083.55007Kaufmann, Ralph M. 17 2005 Moduli space actions on the Hochschild co-chains of a Frobenius algebra. II: Correlators. Zbl 1169.55005Kaufmann, Ralph M. 16 2008 Arc operads and arc algebras. Zbl 1034.18009Kaufmann, Ralph M.; Livernet, Muriel; Penner, R. C. 14 2003 Moduli space actions on the Hochschild co-chains of a Frobenius algebra. I: Cell operads. Zbl 1145.55008Kaufmann, Ralph M. 12 2007 Pointed admissible \(G\)-covers and \(G\)-equivariant cohomological field theories. Zbl 1091.14014Jarvis, Tyler J.; Kaufmann, Ralph; Kimura, Takashi 12 2005 Associahedra, cyclohedra and a topological solution to the \(A_{\infty }\) Deligne conjecture. Zbl 1194.55014Kaufmann, Ralph M.; Schwell, R. 11 2010 Singularities with symmetries, orbifold Frobenius algebras and mirror symmetry. Zbl 1116.14037Kaufmann, Ralph M. 11 2006 Orbifold Frobenius algebras, cobordisms and monodromies. Zbl 1084.57027Kaufmann, Ralph M. 9 2002 Closed/open string diagrammatics. Zbl 1214.32004Kaufmann, Ralph M.; Penner, R. C. 8 2006 Notes on topological insulators. Zbl 1361.82005Kaufmann, Ralph M.; Li, Dan; Wehefritz-Kaufmann, Birgit 7 2016 The odd origin of Gerstenhaber brackets, Batalin-Vilkovisky operators, and master equations. Zbl 1327.81268Kaufmann, Ralph M.; Ward, Benjamin C.; Zúñiga, J. Javier 7 2015 Singularities, swallowtails and Dirac points. An analysis for families of Hamiltonians and applications to wire networks, especially the gyroid. Zbl 1254.81041Kaufmann, Ralph M.; Khlebnikov, Sergei; Wehefritz-Kaufmann, Birgit 6 2012 The Drinfel’d double and twisting in stringy orbifold theory. Zbl 1174.14048Kaufmann, Ralph M.; Pham, David 6 2009 The algebra of discrete torsion. Zbl 1106.16040Kaufmann, Ralph M. 6 2004 Feynman categories. Zbl 1434.18001Kaufmann, Ralph M.; Ward, Benjamin C. 5 2017 Re-gauging groupoid, symmetries and degeneracies for graph Hamiltonians and applications to the gyroid wire network. Zbl 1351.82127Kaufmann, Ralph M.; Khlebnikov, Sergei; Wehefritz-Kaufmann, Birgit 5 2016 The geometry of the double gyroid wire network: quantum and classical. Zbl 1262.81078Kaufmann, Ralph M.; Khlebnikov, Sergei; Wehefritz-Kaufmann, Birgit 5 2012 Second quantized Frobenius algebras. Zbl 1099.16010Kaufmann, Ralph M. 5 2004 Graphs, strings, and actions. Zbl 1206.18009Kaufmann, Ralph M. 4 2009 The intersection form in \(H^*(\overline{M}_{On})\) and the explicit Künneth formula in quantum cohomology. Zbl 0887.14012Kaufmann, Ralph 4 1996 The tensor product in the theory of Frobenius manifolds. Zbl 0982.53072Kaufmann, Ralph M. 3 1999 Arc geometry and algebra: foliations, moduli spaces, string topology and field theory. Zbl 1311.30020Kaufmann, Ralph M. 2 2014 On CY-LG correspondence for \((0,2)\) toric models. Zbl 1271.14074Borisov, Lev A.; Kaufmann, Ralph M. 2 2012 Open/Closed string topology and moduli space actions via open/closed Hochschild actions. Zbl 1197.55005Kaufmann, Ralph M. 2 2010 Dimension vs. genus: A surface realization of the little \(k\)-cubes and an \(E_{\infty}\) operad. Zbl 1171.55004Kaufmann, Ralph M. 2 2009 Discrete torsion, symmetric products and the Hilbert scheme. Zbl 1093.14004Kaufmann, Ralph M. 2 2004 Decorated Feynman categories. Zbl 1410.18010Kaufmann, Ralph M.; Lucas, Jason 1 2017 Comprehensive factorisation systems. Zbl 1397.18004Berger, Clemens; Kaufmann, Ralph M. 1 2017 Permutohedral structures on \(E_2\)-operads. Zbl 1454.55010Kaufmann, Ralph M.; Zhang, Yongheng 1 2017 Singular geometry of the momentum space: from wire networks to quivers and monopoles. Zbl 1388.81124Kaufmann, Ralph M.; Khlebnikov, Sergei; Wehefritz-Kaufmann, Birgit 1 2014 Global stringy orbifold cohomology, K-theory and de Rham theory. Zbl 1217.14041Kaufmann, Ralph M. 1 2010 Path space decompositions for the Virasoro algebra and its Verma modules. Zbl 1044.17507Kaufmann, Ralph M. 1 1995 Feynman categories. Zbl 1434.18001Kaufmann, Ralph M.; Ward, Benjamin C. 5 2017 Decorated Feynman categories. Zbl 1410.18010Kaufmann, Ralph M.; Lucas, Jason 1 2017 Comprehensive factorisation systems. Zbl 1397.18004Berger, Clemens; Kaufmann, Ralph M. 1 2017 Permutohedral structures on \(E_2\)-operads. Zbl 1454.55010Kaufmann, Ralph M.; Zhang, Yongheng 1 2017 Notes on topological insulators. Zbl 1361.82005Kaufmann, Ralph M.; Li, Dan; Wehefritz-Kaufmann, Birgit 7 2016 Re-gauging groupoid, symmetries and degeneracies for graph Hamiltonians and applications to the gyroid wire network. Zbl 1351.82127Kaufmann, Ralph M.; Khlebnikov, Sergei; Wehefritz-Kaufmann, Birgit 5 2016 The odd origin of Gerstenhaber brackets, Batalin-Vilkovisky operators, and master equations. Zbl 1327.81268Kaufmann, Ralph M.; Ward, Benjamin C.; Zúñiga, J. Javier 7 2015 Arc geometry and algebra: foliations, moduli spaces, string topology and field theory. Zbl 1311.30020Kaufmann, Ralph M. 2 2014 Singular geometry of the momentum space: from wire networks to quivers and monopoles. Zbl 1388.81124Kaufmann, Ralph M.; Khlebnikov, Sergei; Wehefritz-Kaufmann, Birgit 1 2014 Singularities, swallowtails and Dirac points. An analysis for families of Hamiltonians and applications to wire networks, especially the gyroid. Zbl 1254.81041Kaufmann, Ralph M.; Khlebnikov, Sergei; Wehefritz-Kaufmann, Birgit 6 2012 The geometry of the double gyroid wire network: quantum and classical. Zbl 1262.81078Kaufmann, Ralph M.; Khlebnikov, Sergei; Wehefritz-Kaufmann, Birgit 5 2012 On CY-LG correspondence for \((0,2)\) toric models. Zbl 1271.14074Borisov, Lev A.; Kaufmann, Ralph M. 2 2012 Associahedra, cyclohedra and a topological solution to the \(A_{\infty }\) Deligne conjecture. Zbl 1194.55014Kaufmann, Ralph M.; Schwell, R. 11 2010 Open/Closed string topology and moduli space actions via open/closed Hochschild actions. Zbl 1197.55005Kaufmann, Ralph M. 2 2010 Global stringy orbifold cohomology, K-theory and de Rham theory. Zbl 1217.14041Kaufmann, Ralph M. 1 2010 The Drinfel’d double and twisting in stringy orbifold theory. Zbl 1174.14048Kaufmann, Ralph M.; Pham, David 6 2009 Graphs, strings, and actions. Zbl 1206.18009Kaufmann, Ralph M. 4 2009 Dimension vs. genus: A surface realization of the little \(k\)-cubes and an \(E_{\infty}\) operad. Zbl 1171.55004Kaufmann, Ralph M. 2 2009 A proof of a cyclic version of Deligne’s conjecture via cacti. Zbl 1161.55001Kaufmann, Ralph M. 18 2008 Moduli space actions on the Hochschild co-chains of a Frobenius algebra. II: Correlators. Zbl 1169.55005Kaufmann, Ralph M. 16 2008 Stringy K-theory and the Chern character. Zbl 1132.14047Jarvis, Tyler J.; Kaufmann, Ralph; Kimura, Takashi 24 2007 On spineless cacti, Deligne’s conjecture and Connes-Kreimer’s Hopf algebra. Zbl 1140.55008Kaufmann, Ralph M. 17 2007 Moduli space actions on the Hochschild co-chains of a Frobenius algebra. I: Cell operads. Zbl 1145.55008Kaufmann, Ralph M. 12 2007 Singularities with symmetries, orbifold Frobenius algebras and mirror symmetry. Zbl 1116.14037Kaufmann, Ralph M. 11 2006 Closed/open string diagrammatics. Zbl 1214.32004Kaufmann, Ralph M.; Penner, R. C. 8 2006 On several varieties of cacti and their relations. Zbl 1083.55007Kaufmann, Ralph M. 17 2005 Pointed admissible \(G\)-covers and \(G\)-equivariant cohomological field theories. Zbl 1091.14014Jarvis, Tyler J.; Kaufmann, Ralph; Kimura, Takashi 12 2005 The algebra of discrete torsion. Zbl 1106.16040Kaufmann, Ralph M. 6 2004 Second quantized Frobenius algebras. Zbl 1099.16010Kaufmann, Ralph M. 5 2004 Discrete torsion, symmetric products and the Hilbert scheme. Zbl 1093.14004Kaufmann, Ralph M. 2 2004 Orbifolding Frobenius algebras. Zbl 1083.57037Kaufmann, Ralph M. 21 2003 Arc operads and arc algebras. Zbl 1034.18009Kaufmann, Ralph M.; Livernet, Muriel; Penner, R. C. 14 2003 Orbifold Frobenius algebras, cobordisms and monodromies. Zbl 1084.57027Kaufmann, Ralph M. 9 2002 The tensor product in the theory of Frobenius manifolds. Zbl 0982.53072Kaufmann, Ralph M. 3 1999 Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves. Zbl 0890.14011Kaufmann, R.; Manin, Yu.; Zagier, D. 20 1996 The intersection form in \(H^*(\overline{M}_{On})\) and the explicit Künneth formula in quantum cohomology. Zbl 0887.14012Kaufmann, Ralph 4 1996 Path space decompositions for the Virasoro algebra and its Verma modules. Zbl 1044.17507Kaufmann, Ralph M. 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 188 Authors 21 Kaufmann, Ralph M. 6 Wehefritz-Kaufmann, Birgit 5 Ward, Benjamin C. 4 Jarvis, Tyler J. 4 Khlebnikov, Sergei 4 Liu, Kefeng 4 Markl, Martin 4 Pham, David N. 4 Xu, Hao 3 Fu, Lie 3 Kimura, Takashi 3 Mirzakhani, Maryam 3 Ruan, Yongbin 3 Tradler, Thomas 3 Westerland, Craig 3 Zagier, Don Bernard 2 Batanin, Michael A. 2 Borisov, Lev A. 2 Campos, Ricardo 2 Chekhov, Leonid O. 2 Curien, Pierre-Louis 2 Doubek, Martin 2 Du, Chengyong 2 Dubrovin, Boris Anatol’evich 2 Edidin, Dan 2 Fan, Huijun 2 Francis, Amanda E. 2 Gálvez-Carrillo, Imma 2 Holm, Tara S. 2 Li, Tiyao 2 Livernet, Muriel 2 Lombardi, Leandro E. 2 Mathai, Varghese 2 Penner, Robert C. 2 Priddis, Nathan 2 Schweigert, Christoph 2 Strachan, Ian A. B. 2 Tang, Xiang 2 Thiang, Guo Chuan 2 Tian, Zhiyu 2 Tonks, Andrew 2 Tseng, Hsian-Hua 2 Uribe, Bernardo 2 Willwacher, Thomas Hans 2 Woike, Lukas 2 Yang, Di 2 Zeinalian, Mahmoud 2 Zograf, Peter 2 Zúñiga, J. Javier 1 Abbaspour, Hossein 1 Alexandersson, Per 1 Bargheer, Tarje 1 Becerra, Edward Samuel 1 Ben-Zvi, David 1 Berger, Clemens 1 Bertola, Marco 1 Bouchard, Vincent 1 Bunk, Severin 1 Burgunder, Emily 1 Calaque, Damien 1 Charbonnier, Séverin 1 Chen, Bohui 1 Chen, Dawei 1 Chen, Linda 1 Chen, Xiaojun 1 Chiodo, Alessandro 1 Ciosmak, Paweł 1 Cordner, Nathan 1 Costello, Kevin Joseph 1 David, François 1 Dolgushev, Vasily A. 1 Doran, Charles F. 1 Dotsenko, Vladimir Viktorovich 1 Eu, Ching-Hwa 1 Eynard, Bertrand 1 Fantechi, Barbara 1 Farinati, Marco Andrés 1 Francis, John 1 Galindo Martínez, César Neyit 1 Garavuso, Richard S. 1 Gibney, Angela 1 Giorgadze, Grigory 1 Godin, Véronique 1 Goldin, Rebecca F. 1 Gomi, Kiyonori 1 González, Ana-Belén 1 Gordon, Joshua A. 1 Göttsche, Lothar 1 Griffin, James T. 1 Hadasz, Leszek 1 Hamilton, Alastair 1 Harada, Megumi 1 Harrelson, Eric 1 He, Weiqiang 1 Helffer, Bernard 1 Hepworth, Richard A. 1 Hinich, Vladimir 1 Hoefel, Eduardo 1 Hu, Jianxun 1 Huang, Ruizhi ...and 88 more Authors all top 5 Cited in 73 Serials 9 Communications in Mathematical Physics 9 Advances in Mathematics 6 Transactions of the American Mathematical Society 6 Journal of Noncommutative Geometry 5 Letters in Mathematical Physics 5 Journal of Geometry and Physics 5 Journal of Algebra 5 Journal of Pure and Applied Algebra 5 International Journal of Mathematics 5 Algebraic & Geometric Topology 4 Selecta Mathematica. New Series 3 Annales de l’Institut Fourier 3 Duke Mathematical Journal 3 Mathematische Annalen 3 Michigan Mathematical Journal 3 Journal of the American Mathematical Society 3 Geometry & Topology 3 Annales Henri Poincaré 2 Reviews in Mathematical Physics 2 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Forum Mathematicum 2 Applied Categorical Structures 2 Theory and Applications of Categories 2 Communications in Contemporary Mathematics 2 Journal of High Energy Physics 2 Higher Structures 1 Communications in Algebra 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Physics 1 Nuclear Physics. B 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Topology and its Applications 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 \(K\)-Theory 1 Science in China. Series A 1 International Journal of Algebra and Computation 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 Glasnik Matematički. Serija III 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences (New York) 1 Advances in Applied Clifford Algebras 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Izvestiya: Mathematics 1 Documenta Mathematica 1 Séminaire Lotharingien de Combinatoire 1 Transformation Groups 1 Journal of Integer Sequences 1 Annals of Mathematics. Second Series 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Homotopy and Related Structures 1 European Journal of Pure and Applied Mathematics 1 Albanian Journal of Mathematics 1 Tbilisi Mathematical Journal 1 Advances in Mathematical Physics 1 Journal of Singularities 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) all top 5 Cited in 28 Fields 48 Algebraic geometry (14-XX) 46 Category theory; homological algebra (18-XX) 46 Algebraic topology (55-XX) 42 Quantum theory (81-XX) 30 Differential geometry (53-XX) 25 Associative rings and algebras (16-XX) 25 Manifolds and cell complexes (57-XX) 22 Several complex variables and analytic spaces (32-XX) 15 \(K\)-theory (19-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Nonassociative rings and algebras (17-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Combinatorics (05-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Commutative algebra (13-XX) 5 Functions of a complex variable (30-XX) 4 Group theory and generalizations (20-XX) 4 Partial differential equations (35-XX) 4 Relativity and gravitational theory (83-XX) 3 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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