English

On a generalized Jones conjecture

Geometric Topology 2008-08-05 v2 Symplectic Geometry

Abstract

We solve the Jones conjecture, which states that the exponent sum in a minimal braid representation of a knot in S^3 is a knot invariant, by proving a generalized version of the original one. We apply contact geometry to study this problem in knot theory.

Keywords

Cite

@article{arxiv.0807.3761,
  title  = {On a generalized Jones conjecture},
  author = {Keiko Kawamuro},
  journal= {arXiv preprint arXiv:0807.3761},
  year   = {2008}
}

Comments

11 pages, 11 figures

R2 v1 2026-06-21T11:03:40.663Z