Khovanov width and dealternation number of positive braid links
Geometric Topology
2020-03-26 v2
Abstract
We give asymptotically sharp upper bounds for the Khovanov width and the dealternation number of positive braid links, in terms of their crossing number. The same braid-theoretic technique, combined with Ozsv\'ath, Stipsicz, and Szab\'o's Upsilon invariant, allows us to determine the exact cobordism distance between torus knots with braid index two and six.
Keywords
Cite
@article{arxiv.1610.04534,
title = {Khovanov width and dealternation number of positive braid links},
author = {Sebastian Baader and Peter Feller and Lukas Lewark and Raphael Zentner},
journal= {arXiv preprint arXiv:1610.04534},
year = {2020}
}
Comments
11 pages, 6 figures, comments welcome! V2: minor changes and corrections. This version corresponds to the published article