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arXiv:0904.3204 [math.GT]AbstractReferencesReviewsResources

Dehn Twists in Heegaard Floer Homology

Bijan Sahamie

Published 2009-04-21, updated 2010-03-11Version 4

We derive a new exact sequence in the hat-version of Heegaard Floer homology. As a consequence we see a functorial connection between the invariant of Legendrian knots and the contact element. As an application we derive two vanishing results of the contact element making it possible to easily read off its vanishing out of a surgery presentation in suitable situations.

Comments: 61 pages, 39 figures; added details to several proofs. Version published by Algebr. Geom. Topol. 10 (2010), 465--524
Journal: Algebraic and Geometric Topology 10 (2010), 465--524
Categories: math.GT, math.SG
Subjects: 57R17, 53D35, 57R58
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