10 citations · 24 across the 5 of their papers we have counts for
4 papers · 1 filter
Khovanov homology, open books, and tight contact structures
John A. Baldwin, Olga Plamenevskaya
We define the reduced Khovanov homology of an open book (S,h), and we identify a distinguished "contact element" in this group which may be used to establish the tightness or non-f…
Khovanov homology and tight contact structures
Olga Plamenevskaya
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…
On Transverse Knots and Branched Covers
Shelly Harvey, Keiko Kawamuro, Olga Plamenevskaya
We study contact manifolds that arise as cyclic branched covers of transverse knots in the standard contact 3-sphere. We discuss properties of these contact manifolds and describe…
Transverse knots and Khovanov homology
Olga Plamenevskaya
We define an invariant of transverse links in the standard contact 3-sphere as a distinguished element of the Khovanov homology of the link. The quantum grading of this invariant i…