Topological formula of the loop expansion of the colored Jones polynomials

Ito, Tetsuya

doi:10.1090/tran/7515

Topological formula of the loop expansion of the colored Jones polynomials
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Trans. Amer. Math. Soc. 372 (2019), 53-70 Request permission

Abstract:

We give a formula of the loop expansion of the colored Jones polynomials based on homological representation of braid groups. This gives a direct proof of the Melvin-Morton-Rozansky conjecture, and a connection between entropy of braids and quantum representations.

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