Dehn twists in Heegaard Floer homology

Bijan Sahamie

doi:10.2140/agt.2010.10.465

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Home > Journals > Algebr. Geom. Topol. > Volume 10 > Issue 1 > Article

2010 Dehn twists in Heegaard Floer homology

Bijan Sahamie

Algebr. Geom. Topol. 10(1): 465-524 (2010). DOI: 10.2140/agt.2010.10.465

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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.