Braided chord diagrams
Geometric Topology
2007-05-23 v2
Abstract
The notion of a braided chord diagram is introduced and studied. An equivalence relation is given which identifies all braidings of a fixed chord diagram. It is shown that finite-type invariants are stratified by braid index for knots which can be represented as closed 3-braids. Partial results are obtained about spanning sets for the algebra of chord diagrams of braid index 3.
Keywords
Cite
@article{arxiv.math/9804020,
title = {Braided chord diagrams},
author = {Joan S. Birman and Rolland Trapp},
journal= {arXiv preprint arXiv:math/9804020},
year = {2007}
}
Comments
22 pages,corrected typos so that figures are inserted into text