Dehn twists in Heegaard Floer homology

Sahamie, Bijan

doi:10.2140/agt.2010.10.465

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Dehn twists in Heegaard Floer homology

Bijan Sahamie

Algebraic & Geometric Topology 10 (2010) 465–524

DOI: 10.2140/agt.2010.10.465

Abstract

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 $\hat{ℒ}$ 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.

Keywords

Heegaard Floer homology, contact geometry, contact element

Mathematical Subject Classification 2000

Primary: 57R17

Secondary: 53D35, 57R58

References

Publication

Received: 22 April 2009

Revised: 5 November 2009

Accepted: 10 December 2009

Published: 3 March 2010

Authors

Bijan Sahamie
Mathematisches Institut der Universität zu Köln Weyertal 86-90 50931 Köln Germany	Mathematisches Institut der LMU München Theresienstrasse 39 80333 München Germany
http://www.math.lmu.de/~sahamie

Volume 10, issue 1 (2010)