Dehn Twists in Heegaard Floer Homology

Details Dehn Twists in Heegaard Floer Homology Dehn Twists in Heegaard Floer Homology

2009-04-21

arxiv.org/abs/0904.3204v4

Algebraic and Geometric Topology 10 (2010), 465--524

Mathematics

Geometric Topology

61 pages, 39 figures; added details to several proofs. Version published by Algebr. Geom. Topol. 10 (2010), 465--524

Scientific paper

10.2140/agt.2010.10.465

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.

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