Floer homology and the spectral metric
Speaker: Zhigang Han, Millersville University
Abstract: After a brief review of the Morse homology, I will go through the definition of the Floer homology of a Hamiltonian diffeomorphism, which is an infinite dimensional analog of Morse homology. Using the Floer homology, I will define a biinvariant metric, known as the Schwarz-Oh spectral metric on the group of Hamiltonian diffeomorphisms. Finally I will explain why the spectral metric does not extend to a biinvariant metric on the group of all symplectomorphisms for certain symplectic manifolds.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm