Khovanov width and dealternation number of positive braid links
arXiv:1610.04534 · doi:10.4310/MRL.2019.v26.n3.a1
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 Ozsváth, Stipsicz, and Szabó's Upsilon invariant, allows us to determine the exact cobordism distance between torus knots with braid index two and six.
11 pages, 6 figures, comments welcome! V2: minor changes and corrections. This version corresponds to the published article