The E-6 state sum invariant of lens spaces

作者：Okazaki Kenta^*

来源：Journal of Knot Theory and Its Ramifications, 2014, 23(6): 1450039.

DOI：10.1142/S0218216514500394

• State sum invariants
• Turaev-Viro-Ocneanu invariants
• the E-6 subfactor
• lens spaces

In this paper, we calculate the values of the E-6 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 E-6 state sum is a homotopy invariant for the oriented lens spaces.

• 出版日期2014-5