Refined invariants and TQFT's from Homfly skein theory

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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.
20 pages with figures, minor modifications in the construction of TQFT's

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Geometric Topology, 57M25, 57M50, 17B37, 81Txx

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http://salesiana.dossiersoluciones.com/handle/123456789/77049

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9806090
 http://arxiv.org/abs/math/9806090
 J.Knot Theor.Ramifications 8 (1999) 569-587

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arXiv