A spanning tree cohomology theory for links

Daniel Kriz; Igor Kriz

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arXiv · 1109.0064

A spanning tree cohomology theory for links

Daniel Kriz·Igor Kriz

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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 $E_3$-term of their spectral sequence. The main purpose of the present paper is to prove directly that this $E_3$-term is a link invariant. We also give some concrete examples of computation of this invariant.

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Daniel Kriz, Igor Kriz. 2011-09-01. A spanning tree cohomology theory for links. https://arxiv.org/abs/1109.0064

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