arXiv Analytics

Sign in

arXiv:math/0611841 [math.GT]AbstractReferencesReviewsResources

Legendrian knots, transverse knots and combinatorial Floer homology

Peter Ozsvath, Zoltan Szabo, Dylan Thurston

Published 2006-11-27, updated 2008-01-04Version 2

Using the combinatorial approach to knot Floer homology, we define an invariant for Legendrian knots in the three-sphere, which takes values in link Floer homology. This invariant can be used to also construct an invariant of transverse knots.

Comments: 27 pages, 13 figures; v2: Expand and correct discussion of links
Journal: Geometry and Topology, 12(2):941-980, 2008
Categories: math.GT, math.SG
Subjects: 57R17, 57R58, 57M25
Related articles: Most relevant | Search more
arXiv:0708.3249 [math.GT] (Published 2007-08-23, updated 2008-03-26)
On the Khovanov and knot Floer homologies of quasi-alternating links
arXiv:1706.07729 [math.GT] (Published 2017-06-23)
An overview of knot Floer homology
arXiv:math/0301149 [math.GT] (Published 2003-01-14, updated 2003-11-18)
Knot Floer homology and the four-ball genus

Links

Toolbox