English

The head and tail conjecture for alternating knots

Geometric Topology 2014-10-01 v1

Abstract

We investigate the coefficients of the highest and lowest terms (also called the head and the tail) of the colored Jones polynomial and show that they stabilize for alternating links and for adequate links. To do this we apply techniques from skein theory.

Keywords

Cite

@article{arxiv.1112.3995,
  title  = {The head and tail conjecture for alternating knots},
  author = {Cody Armond},
  journal= {arXiv preprint arXiv:1112.3995},
  year   = {2014}
}
R2 v1 2026-06-21T19:53:02.229Z