A GNS construction of three-dimensional abelian Dijkgraaf–Witten theories

DOI10.1142/S0129055X18500058zbMath1383.81268arXiv1703.05018OpenAlexW3105838668MaRDI QIDQ4603377

Lukas Müller, Christoph Schweigert

Publication date: 20 February 2018

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.05018

zbMATH Keywords

topological field theoryGNS constructionDijkgraaf-Witten theory

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) Pseudogroups and differentiable groupoids (58H05) States of selfadjoint operator algebras (46L30)

Cites Work

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• Topological gauge theories and group cohomology
• \(W^ *\)-categories
• Chern-Simons theory with finite gauge group
• Braided tensor categories
• Topological quantum field theories derived from the Kauffman bracket
• Homology TQFT's and the Alexander–Reidemeister Invariant of 3-Manifolds via Hopf Algebras and Skein Theory
• Higher-Dimensional Algebra VII: Groupoidification
• Quantum invariants of knots and 3-manifolds

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