TENSOR FUNCTORS ON A CERTAIN CATEGORY CONSTRUCTED FROM SPHERICAL CATEGORIES

DOI10.1142/S0218216511008607zbMath1219.57013OpenAlexW1994146466MaRDI QIDQ3085262

Johanna Bapt. Marta Asaeda OSB

Publication date: 31 March 2011

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216511008607

zbMATH Keywords

Hopf algebrasTQFTTuraev-Viro invariantETQFTcobordismsspherical category

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Topological quantum field theories (aspects of differential topology) (57R56) Subfactors and their classification (46L37) Eilenberg-Moore and Kleisli constructions for monads (18C20)

Cites Work

• Quantum field theory and the Jones polynomial
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• Spherical categories
• Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity
• Skein theory and Turaev-Viro invariants
• Topological quantum field theories derived from the Kauffman bracket
• Invariants of 3-manifolds via link polynomials and quantum groups
• Braided groups
• ON ALGEBRAIC STRUCTURES IMPLICIT IN TOPOLOGICAL QUANTUM FIELD THEORIES
• Invariants of piecewise-linear 3-manifolds
• FROM SUBFACTORS TO 3-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND BACK: A detailed account of Ocneanu’s theory

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