English

A spanning tree cohomology theory for links

Geometric Topology 2014-02-06 v3 Quantum Algebra

Abstract

In their recent preprint, Baldwin, Ozsv\'{a}th and Szab\'{o} defined a twisted version (with coefficients in a Novikov ring) of a spectral sequence, previously defined by Ozsv\'{a}th and Szab\'{o}, from Khovanov homology to Heegaard-Floer homology of the branched double cover along a link. In their preprint, they give a combinatorial interpretation of the E3E_3-term of their spectral sequence. The main purpose of the present paper is to prove directly that this E3E_3-term is a link invariant. We also give some concrete examples of computation of this invariant.

Keywords

Cite

@article{arxiv.1109.0064,
  title  = {A spanning tree cohomology theory for links},
  author = {Daniel Kriz and Igor Kriz},
  journal= {arXiv preprint arXiv:1109.0064},
  year   = {2014}
}
R2 v1 2026-06-21T18:58:08.311Z