English

The colored Jones polynomial and the A-polynomial for twist knots

Geometric Topology 2007-05-23 v1 Quantum Algebra

Abstract

We show that for a twist knot, the A-polynomial can be obtained from recurrences for the summand in Masbaum's formula of the colored Jones polynomial. Our result supports the AJ conjecture due to S.Garoufalidis.

Keywords

Cite

@article{arxiv.math/0401068,
  title  = {The colored Jones polynomial and the A-polynomial for twist knots},
  author = {Toshie Takata},
  journal= {arXiv preprint arXiv:math/0401068},
  year   = {2007}
}

Comments

12 pages, 1 figure