Anh T. Tran

activity

20092026

most citedTwisted Alexander polynomials of 2-bridge knots for parabolic representations

25 citations · 94 across the 36 of their papers we have counts for

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Showing 2011Show all

3 papers · 1 filter

math.GT2011★ 20 cited

On the AJ conjecture for knots

Thang T. Q. Le, Anh T. Tran

We confirm the AJ conjecture [Ga04] that relates the A-polynomial and the colored Jones polynomial for those hyperbolic knots satisfying certain conditions. In particular, we show…

math.GT2011★ 10 cited

Proof of a stronger version of the AJ conjecture for torus knots

Anh T. Tran

For a knot $K$ in $S^{3}$ , the $s l_{2}$ -colored Jones function $J_{K} (n)$ is a sequence of Laurent polynomials in the variable $t$ , which is known to satisfy non-trivial linear recurrenc…

math.GT2011

The Kauffman bracket skein module of two-bridge links

Thang T. Q. Le, Anh T. Tran

We calculate the Kauffman bracket skein module (KBSM) of the complement of all two-bridge links. For a two-bridge link, we show that the KBSM of its complement is free over the rin…