Dehn twists in Heegaard Floer homology

Sahamie, Bijan¹

¹Mathematisches Institut der Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany, Mathematisches Institut der LMU München, Theresienstrasse 39, 80333 München, Germany

Algebraic and Geometric Topology, Tome 10 (2010) no. 1, pp. 465-524

Résumé

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 ℒ̂ 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.

Détail

DOI : 10.2140/agt.2010.10.465

Keywords: Heegaard Floer homology, contact geometry, contact element

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