A Link Splitting Spectral Sequence in Khovanov Homology
Quantum Algebra
2015-11-03 v1 Geometric Topology
Abstract
We construct a new spectral sequence beginning at the Khovanov homology of a link and converging to the Khovanov homology of the disjoint union of its components. The page at which the sequence collapses gives a lower bound on the splitting number of the link, the minimum number of times its components must be passed through one another in order to completely separate them. In addition, we build on work of Kronheimer-Mrowka and Hedden-Ni to show that Khovanov homology detects the unlink.
Keywords
Cite
@article{arxiv.1303.6240,
title = {A Link Splitting Spectral Sequence in Khovanov Homology},
author = {Joshua Batson and Cotton Seed},
journal= {arXiv preprint arXiv:1303.6240},
year = {2015}
}
Comments
36 pages, 15 figures. Includes table of computations