Instantons and Bar-Natan homology
Geometric Topology
2019-10-25 v1
Abstract
A spectral sequence is established, whose page is Bar-Natan's variant of Khovanov homology and which abuts to a deformation of instanton homology for knots and links. This spectral sequence arises as a specialization of a spectral sequence whose page is a characteristic-2 version of homology, in Khovanov's classification.
Keywords
Cite
@article{arxiv.1910.11128,
title = {Instantons and Bar-Natan homology},
author = {Peter B. Kronheimer and Tomasz S. Mrowka},
journal= {arXiv preprint arXiv:1910.11128},
year = {2019}
}
Comments
60 pages. This paper, together with a companion, supersedes the authors' earlier preprint "Instantons, Bar-Natan homology and some concordance invariants of knots" (arXiv:1905.00828)