On a Map From Pure Braids to Knots

Jacob Mostovoy; Theodore Stanford

On a Map From Pure Braids to Knots

Geometric Topology 2007-05-23 v1 Group Theory

Authors: Jacob Mostovoy , Theodore Stanford

Abstract

We study a certain type of braid closure which resembles the plat closure but has certain advantages; for example, it maps pure braids to knots. The main results of this note are a Markov-type theorem and a description of how Vassiliev invariants behave under this braid closure.

Keywords

braid groups knot theory knot invariants

Cite

@article{arxiv.math/9907088,
  title  = {On a Map From Pure Braids to Knots},
  author = {Jacob Mostovoy and Theodore Stanford},
  journal= {arXiv preprint arXiv:math/9907088},
  year   = {2007}
}

Comments

8 pages, 9 figures

Related papers

View all related →