English

Recurrence relation for Jones polynomials

Geometric Topology 2010-02-22 v1

Abstract

Using a simple recurrence relation we give a new method to compute Jones polynomials of closed braids: we find a general expansion formula and a rational generating function for Jones polynomials. The method is used to estimate degree of Jones polynomials for some families of braids and to obtain general qualitative results.

Keywords

Cite

@article{arxiv.1002.3735,
  title  = {Recurrence relation for Jones polynomials},
  author = {Barbu Berceanu and Abdul Rauf Nizami},
  journal= {arXiv preprint arXiv:1002.3735},
  year   = {2010}
}

Comments

19 pages, 4 figures

R2 v1 2026-06-21T14:48:55.941Z