English

Braid and knot invariants via triangulations and Ptolemy relations I

Geometric Topology 2019-01-23 v2

Abstract

In this paper, we construct invariants of braids, knots and links by studying dynamics of points in R2\R^{2} and applying the Ptolemy relation ac+bd=xyac+bd=xy.

Keywords

Cite

@article{arxiv.1812.08436,
  title  = {Braid and knot invariants via triangulations and Ptolemy relations I},
  author = {Vassily Olegovich Manturov},
  journal= {arXiv preprint arXiv:1812.08436},
  year   = {2019}
}

Comments

There is a mistake in the "knot" part of the paper; some more arguments are needed. The braid invariant is well defined