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Refined invariants and TQFT's from Homfly skein theory

Anna Beliakova
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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 TQFT's and study the relationship between them.

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Anna Beliakova. 1998-07-03. Refined invariants and TQFT's from Homfly skein theory. https://arxiv.org/abs/math/9806090

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