Decorated TQFTs and their Hilbert spaces

DOI10.1007/jhep08(2023)110arXiv2206.14967OpenAlexW4385987183MaRDI QIDQ6074119

Mrunmay Jagadale

Publication date: 12 October 2023

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.14967

zbMATH Keywords

topological field theoriesquantum groupsdifferential and algebraic geometryChern-Simons theories

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

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• Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants
• Non semi-simple \({\mathfrak {sl}(2)}\) quantum invariants, spin case
• Topological quantum field theories
• Topological gauge theories and group cohomology
• Reidemeister torsion, the Alexander polynomial and \(U(1,1)\) Chern-Simons theory
• Torsion invariants of Spin\(^c\)-structures on 3-manifolds
• Fivebranes and 3-manifold homology
• Generalized global symmetries
• Topological quantum field theories derived from the Kauffman bracket
• Topological quantum field theories for surfaces with spin structure
• 3d-3d correspondence for mapping tori
• Quantum modular forms and plumbing graphs of 3-manifolds
• A two-variable series for knot complements
• Invariants of 3-manifolds via link polynomials and quantum groups
• 3d modularity
• \(\hat{Z}\) invariants at rational \(\tau\)
• Witt invariants from \(q\)-series \(\hat{Z}\)
• Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories
• Large color R-matrix for knot complements and strange identities
• BPS spectra and 3-manifold invariants
• Non-semisimple TQFT's and BPS \(q\)-series

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