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Locality and the uniqueness of quantum invariants
Journal article   Peer reviewed

Locality and the uniqueness of quantum invariants

Charles Frohman
Journal of knot theory and its ramifications, Vol.28(12), p.1950079
10/01/2019
DOI: 10.1142/S0218216519500792
url
https://arxiv.org/pdf/1806.09391View
Open Access

Abstract

We introduce the notion of a "state function" for framed tangles in a disk. After choosing a finite set of states for each marked disk, a state function is a projection from the vector space spanned by all tangles to the vector space spanned by the states, that is local, and topologically invariant. Given the states for the Kauffman bracket, and the quantum SU(3)-invariant we classify all state functions, and then compare our results to the literature.
Mathematics Physical Sciences Science & Technology

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