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math.GT2019★ 4 cited
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots, II
Jeremy Lovejoy, Robert Osburn
Let denote the family of double twist knots where and are non-zero integers denoting the number of half-twists in each region. Using a result of Takata, we…
math.GT2017★ 4 cited
The colored Jones polynomial and Kontsevich-Zagier series for double twist knots
Jeremy Lovejoy, Robert Osburn
Using a result of Takata, we prove a formula for the colored Jones polynomial of the double twist knots and where and are positive integers. In t…