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• #### The Colored Jones Polynomial and Kontsevich-Zagier Series for Double Twist Knots ﻿

[OWP-2017-29] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-20)
Using a result of Takata, we prove a formula for the colored Jones polynomial of the double twist knots $K_{(-m,-p)}$ and $K_{(-m,p)}$ where $m$ and $p$ are positive integers. In the $(-m,-p)$ case, this leads to new ...