Topological quantum field theories for surfaces with spin structure

DOI10.1215/S0012-7094-96-08211-3zbMath0854.57025OpenAlexW1513882036MaRDI QIDQ1919624

Christian Blanchet, Gregor Masbaum

Publication date: 26 January 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-96-08211-3

zbMATH Keywords

Jones polynomial3-manifoldcobordism categoryspin invariantstopological quantum field theory in dimension 3

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Other types of cobordism (57R90)

Related Items

Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants ⋮ The spin refined Kauffman bracket skein module of \(S^ 1 \times S^ 2\) and lens spaces ⋮ Fermionic finite-group gauge theories and interacting symmetric/crystalline orders via cobordisms ⋮ Decorated TQFTs and their Hilbert spaces ⋮ Non semi-simple \({\mathfrak {sl}(2)}\) quantum invariants, spin case ⋮ Invariants for one-dimensional cohomology classes arising from TQFT ⋮ Congruence subgroups and super-modular categories ⋮ On classification of super-modular categories of rank 8 ⋮ Dualizable tensor categories ⋮ SPIN TOPOLOGICAL QUANTUM FIELD THEORIES ⋮ A spin decomposition of the verlinde formulas for type A modular categories ⋮ State sum construction of two-dimensional topological quantum field theories on spin surfaces ⋮ Invariants of spin three-manifolds from Chern-Simons theory and finite-dimensional Hopf algebras

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