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2:30 pm Thursday, October 15, 2009 Current Math Seminar: Introduction to Contact Homologyby Bridget D Franklin (Rice University) in HB 227- Contact Homology, one specialized version of Floer Homology, is currently a very active area of research in Topology. In this talk, I will be following notes of a talk given by John Etnyre at the 2009 GITC as well as discussing some of what I learned at the MSRI Workshop in Symplectic and Contact Geometry and Topology. I will give a general discussion Contact Homology which studies the properties of M, a compact, oriented, 2n-1 dimensional manifold endowed with a contact structure. I will specialize this to the discussion of Legendrian Contact Homology which gives an invariant of Legendrian submanifolds of M, which is useful in the study of the isotopy classes of Legendrian knots in R^3 given the standard contact structure. If time permits, we will look at relationships between Contact Homology and other Floer Homology Theories.
Submitted by sm29@rice.edu |