Seminar
Parent Program: | -- |
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Location: | UC Berkeley, 60 Evans Hall |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Contact structure on a 3-manifold is a nowhere integrable plane field. In the 70’s Thurston and Winkelnkemper showed how an open book decomposition of a 3-manifold gives rise to a compatible contact structure. In 2000 Giroux showed that every contact structure on a 3-manifold is compatible with an open book decomposition.
Ozsvath and Szabo used this fact to define an invariant for the contact structure in their Heegaard Floer Homology. We will describe a simple way to visualize this invariant and talk about applications and generalizations.
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