Keyword: State Sum Invariants : Search

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Keyword: State Sum Invariants (2)	2 Apr 2025	Run
Keyword: Stallings' Folding (1)	2 Apr 2025	Run
Keyword: Wakefield Generation (1)	2 Apr 2025	Run
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articleNo Access
On 3-dimensional homotopy quantum field theory III: Comparison of two approaches
- Vladimir Turaev and
- Alexis Virelizier
International Journal of Mathematics31 Jul 2020
Preview Abstract
Let $G$ be a discrete group and $𝒞$ be an additive spherical $G$ -fusion category. We prove that the state sum 3-dimensional HQFT derived from $𝒞$ is isomorphic to the surgery 3-dimensional HQFT derived from the $G$ -center of $𝒞$ .
articleNo Access
The E₆ state sum invariant of lens spaces
- Kenta Okazaki
Journal of Knot Theory and Its Ramifications01 May 2014
Preview Abstract
In this paper, we calculate the values of the E₆ state sum invariant for the lens spaces L(p, q). In particular, we show that the values of the invariant are determined by p mod 12 and q mod (p, 12). As a corollary, we show that the E₆ state sum is a homotopy invariant for the oriented lens spaces.

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