English

The Bar-Natan Theory Splits

Geometric Topology 2015-08-26 v1

Abstract

We show that over the binary field F2\mathbb F_2, the Bar-Natan perturbation of Khovanov homology splits as the direct sum of its two reduced theories, which we also prove are isomorphic. This extends Shumakovitch's analogous result for ordinary Khovanov homology, without the perturbation.

Keywords

Cite

@article{arxiv.1508.05982,
  title  = {The Bar-Natan Theory Splits},
  author = {Yuval Wigderson},
  journal= {arXiv preprint arXiv:1508.05982},
  year   = {2015}
}
R2 v1 2026-06-22T10:40:38.610Z