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Home » MSRI Evans Lecture Series: "Contact Structures, Open Books and Contact Invariants in Floer Homology"

Seminar

MSRI Evans Lecture Series: "Contact Structures, Open Books and Contact Invariants in Floer Homology" January 25, 2010
Location: UC Berkeley, 60 Evans Hall
Speaker(s) Gordana Matic
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Abstract/Media

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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