Refined invariants and TQFTs from Homfly skein theory
نویسندگان
چکیده
منابع مشابه
Refined invariants and TQFT’s from Homfly skein theory
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...
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Given an invariant J(K) of a knot K, the corresponding (1, 1)-tangle invariant J ′(K) = J(K)/J(U) is defined as the quotient of J(K) by its value J(U) on the unknot U . We prove here that J ′ is always an integer 2-variable Laurent polynomial when J is the Homfly satellite invariant determined by decorating K with any eigenvector of the meridian map in the Homfly skein of the annulus. Specialis...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 1999
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216599000390