Topological Quantum Field Theories from Compact Lie Groups

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Topological Quantum Field Theories from Compact Lie Groups

Show simple item record Freed, Daniel Hopkins, Michael J. Lurie, Jacob Alexander Teleman, Constantin 2012-12-06T21:33:23Z 2010
dc.identifier.citation Freed, Daniel, Michael J. Hopkins, Jacob Alexander Lurie, and Constantin Teleman. 2010. Topological quantum field theories from compact lie groups. In A Celebration of the Mathematical Legacy of Raoul Bott, vol. 50 of CRM Proceedings and Lecture Notes, ed. P. Robert Kotiuga, 367-403. Providence, RI: American Mathematical Society. en_US
dc.identifier.isbn 0-8218-4777-5 en_US
dc.identifier.isbn 978-0-8218-4777-0 en_US
dc.description.abstract It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We provide a solution in case the gauge group is a torus. We also develop from different points of view an associated 4-dimensional invertible topological field theory which encodes the anomaly of Chern-Simons. Finite gauge groups are also revisited, and we describe a theory of "finite path integrals" as a general construction for a certain class of finite topological field theories. Topological pure gauge theories in lower dimension are presented as a warm-up. en_US
dc.description.sponsorship Mathematics en_US
dc.language.iso en_US en_US
dc.publisher American Mathematical Society en_US
dc.relation.hasversion en_US
dash.license OAP
dc.title Topological Quantum Field Theories from Compact Lie Groups en_US
dc.type Monograph or Book en_US
dc.description.version Author's Original en_US Lurie, Jacob Alexander 2012-12-06T21:33:23Z

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