Categorification of Dijkgraaf-Witten theory

DOI10.4310/ATMP.2017.v21.n4.a5zbMath1384.81128arXiv1511.00295MaRDI QIDQ1691344

Peng Zhang

Publication date: 15 January 2018

Published in: Advances in Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00295

zbMATH Keywords

cobordismgerbetopological quantum field theorycap productcohomology with coefficeints in Picard groupoidGauge theory with finite gauge groupPicard groupoid of Hermitian lines

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) Picard groups (14C22) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (2)

Orientation twisted homotopy field theories and twisted unoriented Dijkgraaf-Witten theory ⋮ A pair of homotopy-theoretic version of TQFT’s induced by a Brown functor

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