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arXiv · 1403.3506

The $E_6$ state sum invariant of lens spaces

Kenta Okazaki
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Abstract

In this paper, we calculate the values of the $E_6$ state sum invariants for the lens spaces $L(p,q)$. In particular, we show that the values of the invariants are determined by $p \mod 12$ and $q \mod (p,12)$. As a corollary, we show that the $E_6$ state sum is a homotopy invariant for the oriented lens spaces.

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Kenta Okazaki. 2014-03-14. The $E_6$ state sum invariant of lens spaces. https://arxiv.org/abs/1403.3506

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