MSRI Evans Lecture Series: "Contact Structures, Open Books and Contact Invariants in Floer Homology"
Mon, January 25, 2010 4:10PM - 5:00PM
| Time: | 4:10PM - 5:00PM |
| Location: | 60 Evans Hall, University of California, Berkeley |
| Speakers: | Gordana Matic, Gordana Matic |
| Abstract: | 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. |
