Crossing changes in closed 3-braid diagrams
Geometric Topology
2010-01-12 v1
Abstract
A crossing in a knot is nugatory if changing the crossing does not change the knot type. Using an invariant of certain types of closed 3-braid diagrams, we show that if a closed 3-braid contains a nugatory crossing then its braid index is one or two. This proves a special case of a conjecture on nugatory crossings due to Xiao-Song Lin.
Keywords
Cite
@article{arxiv.1001.1559,
title = {Crossing changes in closed 3-braid diagrams},
author = {Chad Wiley},
journal= {arXiv preprint arXiv:1001.1559},
year = {2010}
}
Comments
20 pages, 12 figures