# zbMATH — the first resource for mathematics

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 Documents Indexed: 28 Publications since 2007
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#### Co-Authors

 13 single-authored 5 Schreiber, Urs 4 Gawȩdzki, Krzysztof 4 Nikolaus, Thomas 4 Schweigert, Christoph 4 Suszek, Rafał R. 2 Fuchs, Jürgen
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#### Serials

 4 Communications in Mathematical Physics 2 Journal of Geometry and Physics 2 Advances in Mathematics 2 Theory and Applications of Categories 2 Journal of Homotopy and Related Structures 1 Reviews in Mathematical Physics 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Differential Geometry and its Applications 1 The Asian Journal of Mathematics 1 Advances in Theoretical and Mathematical Physics 1 Homology, Homotopy and Applications 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Higher Structures
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#### Fields

 25 Differential geometry (53-XX) 16 Algebraic topology (55-XX) 9 Topological groups, Lie groups (22-XX) 9 Quantum theory (81-XX) 6 Category theory; homological algebra (18-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Manifolds and cell complexes (57-XX) 2 Algebraic geometry (14-XX) 2 Mechanics of particles and systems (70-XX) 1 Several complex variables and analytic spaces (32-XX)

#### Citations contained in zbMATH

27 Publications have been cited 282 times in 131 Documents Cited by Year
Connections on non-abelian gerbes and their holonomy. Zbl 1279.53024
2013
Parallel transport and functors. Zbl 1189.53026
2009
Unoriented WZW models and holonomy of bundle gerbes. Zbl 1148.53057
Schreiber, Urs; Schweigert, Christoph; Waldorf, Konrad
2007
Smooth functors vs. differential forms. Zbl 1230.53025
2011
More morphisms between bundle gerbes. Zbl 1166.55005
2007
Four equivalent versions of nonabelian gerbes. Zbl 1286.55006
2013
String connections and Chern-Simons theory. Zbl 1277.53024
2013
Bi-branes: Target space geometry for world sheet topological defects. Zbl 1156.53050
Fuchs, Jürgen; Schweigert, Christoph; Waldorf, Konrad
2008
Multiplicative bundle gerbes with connection. Zbl 1191.53022
2010
Bundle gerbes for orientifold sigma models. Zbl 1280.81089
Gawȩdzki, Krzysztof; Suszek, Rafał R.; Waldorf, Konrad
2011
Transgression to loop spaces and its inverse. II: Gerbes and fusion bundles with connection. Zbl 1338.53051
2016
Bundle gerbes and surface holonomy. Zbl 1195.53043
Fuchs, Jürgen; Nikolaus, Thomas; Schweigert, Christoph; Waldorf, Konrad
2010
Lifting problems and transgression for non-abelian gerbes. Zbl 1291.55009
2013
Transgression to loop spaces and its inverse. I: Diffeological bundles and fusion maps. Zbl 1277.53045
2012
A loop space formulation for geometric lifting problems. Zbl 1222.53025
2011
A construction of string 2-group models using a transgression-regression technique. Zbl 1317.53035
2012
Transgression to loop spaces and its inverse. III: Gerbes and thin fusion bundles. Zbl 1258.53023
2012
Gerbes and Lie groups. Zbl 1236.22013
2011
WZW orientifolds and finite group cohomology. Zbl 1158.81024
Gawędzki, Krzysztof; Suszek, Rafał R.; Waldorf, Konrad
2008
Parallel transport in principal 2-bundles. Zbl 1432.53030
2018
Local theory for 2-functors on path 2-groupoids. Zbl 1404.18015
2017
Transgressive loop group extensions. Zbl 1380.58005
2017
Global gauge anomalies in two-dimensional bosonic sigma models. Zbl 1213.81167
Gawędzki, Krzysztof; Suszek, Rafał R.; Waldorf, Konrad
2011
Spin structures on loop spaces that characterize string manifolds. Zbl 1348.57034
2016
String geometry vs. spin geometry on loop spaces. Zbl 1322.81068
2015
The gauging of two-dimensional bosonic sigma models on world-sheets with defects. Zbl 1278.81135
Gawȩdzki, Krzysztof; Suszek, Rafał R.; Waldorf, Konrad
2013
Surface holonomy. Zbl 1220.53034
2010
Parallel transport in principal 2-bundles. Zbl 1432.53030
2018
Local theory for 2-functors on path 2-groupoids. Zbl 1404.18015
2017
Transgressive loop group extensions. Zbl 1380.58005
2017
Transgression to loop spaces and its inverse. II: Gerbes and fusion bundles with connection. Zbl 1338.53051
2016
Spin structures on loop spaces that characterize string manifolds. Zbl 1348.57034
2016
String geometry vs. spin geometry on loop spaces. Zbl 1322.81068
2015
Connections on non-abelian gerbes and their holonomy. Zbl 1279.53024
2013
Four equivalent versions of nonabelian gerbes. Zbl 1286.55006
2013
String connections and Chern-Simons theory. Zbl 1277.53024
2013
Lifting problems and transgression for non-abelian gerbes. Zbl 1291.55009
2013
The gauging of two-dimensional bosonic sigma models on world-sheets with defects. Zbl 1278.81135
Gawȩdzki, Krzysztof; Suszek, Rafał R.; Waldorf, Konrad
2013
Transgression to loop spaces and its inverse. I: Diffeological bundles and fusion maps. Zbl 1277.53045
2012
A construction of string 2-group models using a transgression-regression technique. Zbl 1317.53035
2012
Transgression to loop spaces and its inverse. III: Gerbes and thin fusion bundles. Zbl 1258.53023
2012
Smooth functors vs. differential forms. Zbl 1230.53025
2011
Bundle gerbes for orientifold sigma models. Zbl 1280.81089
Gawȩdzki, Krzysztof; Suszek, Rafał R.; Waldorf, Konrad
2011
A loop space formulation for geometric lifting problems. Zbl 1222.53025
2011
Gerbes and Lie groups. Zbl 1236.22013
2011
Global gauge anomalies in two-dimensional bosonic sigma models. Zbl 1213.81167
Gawędzki, Krzysztof; Suszek, Rafał R.; Waldorf, Konrad
2011
Multiplicative bundle gerbes with connection. Zbl 1191.53022
2010
Bundle gerbes and surface holonomy. Zbl 1195.53043
Fuchs, Jürgen; Nikolaus, Thomas; Schweigert, Christoph; Waldorf, Konrad
2010
Surface holonomy. Zbl 1220.53034
2010
Parallel transport and functors. Zbl 1189.53026
2009
Bi-branes: Target space geometry for world sheet topological defects. Zbl 1156.53050
Fuchs, Jürgen; Schweigert, Christoph; Waldorf, Konrad
2008
WZW orientifolds and finite group cohomology. Zbl 1158.81024
Gawędzki, Krzysztof; Suszek, Rafał R.; Waldorf, Konrad
2008
Unoriented WZW models and holonomy of bundle gerbes. Zbl 1148.53057
Schreiber, Urs; Schweigert, Christoph; Waldorf, Konrad
2007
More morphisms between bundle gerbes. Zbl 1166.55005
2007
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#### Cited by 124 Authors

 14 Waldorf, Konrad 9 Schweigert, Christoph 8 Sämann, Christian 8 Schreiber, Urs 7 Fuchs, Jürgen 7 Gawȩdzki, Krzysztof 7 Sati, Hisham 6 Martins, João Nuno Goncalves Faria 6 Nikolaus, Thomas 6 Szabo, Richard J. 5 Chatterjee, Saikat 5 Zucchini, Roberto 4 Bunk, Severin 4 Bunke, Ulrich 4 Lahiri, Amitabha 4 Runkel, Ingo 4 Sengupta, Ambar N. 4 Suszek, Rafał R. 3 Fiorenza, Domenico 3 Murray, Michael K. 3 Picken, Roger F. 3 Sarkissian, Gor 3 Sarkissian, Gor A. 3 Stevenson, Danny 3 Tauber, Clément 3 Wockel, Christoph 3 Wolf, Martin 2 Baez, John C. 2 Branding, Volker 2 Bullivant, Alex 2 Cirio, Lucio Simone 2 Córdova, Clay 2 Delcamp, Clement 2 Dumitrescu, Florin 2 Gomi, Kiyonori 2 Grady, Daniel 2 Krepski, Derek 2 Redden, Corbett 2 Satoh, Yuji 2 Schmidt, Lennart 2 Sharpe, Eric R. 2 Stigner, Carl 2 Valentino, Alessandro 2 Wang, Wei 2 Wilson, Scott O. 1 Arias Abad, Camilo 1 Azimi, M. Jawad 1 Becker, Christian 1 Benini, Francesco 1 Brahic, Olivier 1 Calçada, Marcos 1 Carpentier, David 1 Carpi, Sebastiano 1 Carqueville, Nils 1 Collier, Brian 1 de Fromont, Paul 1 Delplace, Pierre 1 Demessie, Getachew Alemu 1 Dimov, Hristo 1 Dumitrescu, Thomas T. 1 Freed, Daniel Stuart 1 Fröhlich, Jürg Martin 1 Fruchart, M. 1 Ganter, Nora 1 Garcia-Fernandez, Mario 1 Gevorgyan, Eva 1 Gukov, Sergei 1 Hekmati, Pedram 1 Henriques, André G. 1 Hillier, Robin 1 Hoffnung, Alexander E. 1 Hsin, Po-Shen 1 Huerta, John 1 Intriligator, Kenneth 1 Jurčo, Branislav 1 Kádár, Zoltán 1 Klimčík, Ctirad 1 Koushik, Praphulla 1 Kuribayashi, Katsuhiko 1 Lerman, Eugene M. 1 Martin, Paul Purdon 1 Mathai, Varghese 1 McCauley, Thomas 1 Mickler, Ryan 1 Mladenov, Stefan 1 Monnier, Samuel 1 Moore, Gregory Winthrop 1 Morton, Jeffrey Colin 1 Müller, Lukas 1 Naumann, Niko 1 Ortiz, Cristián 1 Park, Byungdo 1 Parzygnat, Arthur J. 1 Pei, Du 1 Poghosyan, Hasmik 1 Putrov, Pavel 1 Rashkov, Radoslav C. 1 Roberts, David Michael 1 Rogers, Christopher Lee 1 Rosenberg, Jonathan Micah ...and 24 more Authors
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#### Cited in 34 Serials

 26 Journal of Geometry and Physics 16 Communications in Mathematical Physics 11 Journal of High Energy Physics 7 Letters in Mathematical Physics 7 Nuclear Physics. B 7 Reviews in Mathematical Physics 6 Journal of Mathematical Physics 6 Advances in Mathematics 6 Journal of Homotopy and Related Structures 5 Differential Geometry and its Applications 4 Transactions of the American Mathematical Society 2 Fortschritte der Physik 2 Annals of Global Analysis and Geometry 2 Bulletin des Sciences Mathématiques 2 Geometry & Topology 2 Annales Henri Poincaré 2 International Journal of Geometric Methods in Modern Physics 1 International Journal of Modern Physics A 1 General Relativity and Gravitation 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Rendiconti del Seminario Matematico della Università di Padova 1 Indagationes Mathematicae. New Series 1 Journal of Lie Theory 1 Theory and Applications of Categories 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Journal of the Australian Mathematical Society 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Quantum Topology 1 Analysis and Mathematical Physics 1 European Journal for Philosophy of Science 1 Higher Structures
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#### Cited in 22 Fields

 67 Quantum theory (81-XX) 61 Differential geometry (53-XX) 35 Algebraic topology (55-XX) 32 Global analysis, analysis on manifolds (58-XX) 30 Category theory; homological algebra (18-XX) 20 Topological groups, Lie groups (22-XX) 20 Manifolds and cell complexes (57-XX) 14 Algebraic geometry (14-XX) 9 Relativity and gravitational theory (83-XX) 7 Nonassociative rings and algebras (17-XX) 7 Group theory and generalizations (20-XX) 5 $$K$$-theory (19-XX) 5 Mechanics of particles and systems (70-XX) 4 Associative rings and algebras (16-XX) 4 Functional analysis (46-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX)

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