Publication: Refined invariants and TQFTs from Homfly skein theory
Refined invariants and TQFTs from Homfly skein theory
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Beliakova, A. (1999). Refined invariants and TQFTs from Homfly skein theory. Journal of Knot Theory and Its Ramifications, 8, 569–587. https://doi.org/10.1142/S0218216599000390
Abstract
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Abstract
We work in the reduced SU(N, K) modular category as constructed recently by Blanchet. We define spin type and cohomological refinements of the Turaev-Viro invariants of closed oriented 3-manifolds and give a formula relating them to Blanchet's invariants. Roberts' definition of the Turaev-Viro state sum is exploited. Furthermore, we construct refined Turaev-Viro and Reshetikhin-Turaev TQFTs and study the relationship between them.
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- Beliakova, A
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Beliakova, A. (1999). Refined invariants and TQFTs from Homfly skein theory. Journal of Knot Theory and Its Ramifications, 8, 569–587. https://doi.org/10.1142/S0218216599000390
