Oliver Dasbach

Affiliation: Louisiana State University

Email: kasten@math.lsu.edu

Title Of Talk: Recovering Ramanujan identities from the colored Jones polynomial

Abstract: The colored Jones polynomial assigns to each knot or link in 3-space a sequence of Laurent polynomials, indexed by a natural number $N$. We show that by computing the colored Jones polynomial of certain knots with different methods one naturally recovers identities such as the second Rogers-Ramanujan identity. This is joint work with Cody Armond.

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