Khovanov homology and tight contact structures

Details Khovanov homology and tight contact structures Khovanov homology and tight contact structures

2008-02-26

arxiv.org/abs/0802.3835v2

Mathematics

Geometric Topology

All the results of this paper are now subsumed by arXiv:0808.2336, joint with John A. Baldwin

Scientific paper

Using the relation between Khovanov homology and the Heegaard Floer homology of branched double covers, we show how Khovanov homology can be used to establish tightness of branched double covers of certain transverse knots. We give examples of several infinite families of knots whose branched covers are tight for Khovanov-homological reasons, and show that some of these branched covers are not Stein fillable.

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