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arXiv · 1601.05577

q-series and tails of colored Jones polynomials

Paul Beirne·Robert Osburn
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Abstract

We extend the table of Garoufalidis, Le and Zagier concerning conjectural Rogers-Ramanujan type identities for tails of colored Jones polynomials to all alternating knots up to 10 crossings. We then prove these new identities using q-series techniques.

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Paul Beirne, Robert Osburn. 2016-01-21. q-series and tails of colored Jones polynomials. https://doi.org/10.1016/j.indag.2016.11.016

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