Jones polynomials, volume, and essential knot surfaces: a survey

Abstract

This paper is a brief overview of recent results by the authors relating colored Jones polynomials to geometric topology. The proofs of these results appear in the papers [arXiv:1002.0256] and [arXiv:1108.3370], while this survey focuses on the main ideas and examples.

27 pages, 23 figures. v2 contains minor revisions and updated references. To appear in Proceedings of Knots in Poland III

References in corpus (2)

• The Jones polynomial and graphs on surfaces
• Rogers-Ramanujan type identities and the head and tail of the colored Jones polynomial

Cited by in corpus (2)

• Nahm sums, stability and the colored Jones polynomial
• On the degree of the colored Jones polynomial