Geodesic
A note on Gornik’s perturbation of Khovanov–Rozansky homology
Lobb, Andrew1
1Department of Mathematical Sciences, Durham University, Science Laboratories, South Road, Durham, DH1 3LE, UK
Algebraic and Geometric Topology, Tome 12 (2012) no. 1, pp. 293-305
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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 sn(K). Furthermore we show that sn 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.

DOI : 10.2140/agt.2012.12.293
Classification : 57M25
Keywords: knot, slice genus

Lobb, Andrew  1

1 Department of Mathematical Sciences, Durham University, Science Laboratories, South Road, Durham, DH1 3LE, UK 
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Lobb, Andrew. A note on Gornik’s perturbation of Khovanov–Rozansky homology. Algebraic and Geometric Topology, Tome 12 (2012) no. 1, pp. 293-305. doi: 10.2140/agt.2012.12.293

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