In their recent preprint, Baldwin, Ozsváth and Szabó defined a twisted version (with coefficients in a Novikov ring) of a spectral sequence, previously defined by Ozsváth and Szabó, 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 E3-term of their spectral sequence. The main purpose of the present paper is to prove directly that this E3-term is a link invariant. We also give some concrete examples of computation of the invariant.

A spanning tree cohomology theory for links / D. Kriz, I. Kriz. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 255:(2014 Apr 01), pp. 414-454. [10.1016/j.aim.2014.01.006]

A spanning tree cohomology theory for links

D. Kriz
Primo
;
2014

Abstract

In their recent preprint, Baldwin, Ozsváth and Szabó defined a twisted version (with coefficients in a Novikov ring) of a spectral sequence, previously defined by Ozsváth and Szabó, 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 E3-term of their spectral sequence. The main purpose of the present paper is to prove directly that this E3-term is a link invariant. We also give some concrete examples of computation of the invariant.
Spanning tree cohomology theory links;
Settore MATH-02/A - Algebra
   K-theory and related topics
   National Science Foundation
   Directorate for Mathematical & Physical Sciences
   1102614
1-apr-2014
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/1158178
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