English

Stability properties of the colored Jones polynomial

Geometric Topology 2019-01-01 v2

Abstract

It is known that the colored Jones polynomial of a ++-adequate link has a well-defined tail consisting of stable coefficients, and that the coefficients of the tail carry geometric and topological information on the ++-adequate link complement. We show that a power series similar to the tail of the colored Jones polynomial for ++-adequate links can be defined for allall links, and that it is trivial if and only if the link is non ++-adequate.

Keywords

Cite

@article{arxiv.1409.4457,
  title  = {Stability properties of the colored Jones polynomial},
  author = {Christine Ruey Shan Lee},
  journal= {arXiv preprint arXiv:1409.4457},
  year   = {2019}
}

Comments

17 pages, 11 figures. Substantially shortened and revised with a new proof for journal publication