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The E₆ state sum invariant of lens spaces

Kenta Okazaki

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan

https://doi.org/10.1142/S0218216514500394Cited by:0 (Source: Crossref)

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.

Keywords:

AMSC: 57M27

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