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arXiv · 1012.2802

A note on Gornik's perturbation of Khovanov-Rozansky homology

Andrew Lobb
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Abstract

We show that the information contained in the associated graded vector space to Gornik's version of Khovanov-Rozansky knot homology is equivalent to a single even integer s_n(K). Furthermore we show that s_n is a homomorphism from the smooth knot concordance group to the integers. This is in analogy with Rasmussen's invariant coming from a perturbation of Khovanov homology.

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Andrew Lobb. 2010-12-26. A note on Gornik's perturbation of Khovanov-Rozansky homology. https://doi.org/10.2140/agt.2012.12.293

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