Venue: MCM110
Title: Growth of eigenvalues of Floer Hessians
Abstract: This is joint work with Joa Weber. When Floer introduced his celebrated homology he considered a gradient with respect to a very week metric. In particular, the Hessian for such a metric is not a operator from a fixed Hilbert space into itself but an operator on a scale of Hilbert spaces. We are looking into the topology of the space of Floer Hessians and show that this space has infinitely many connected components. This results is obtained by proving that the growth type of negative and positive eigenvalues are homotopy invariants.
