Continuity of spectral invariants in Hamiltonian Floer theory
by Stefan MÃ¼ller
Abstract: Spectral invariants are a powerful tool in Hamiltonian Floer theory, with applications to the geometric and algebraic structure of the group of Hamiltonian diffeomorphisms of a closed symplectic manifold. After a brief review of Floer homology, we define the spectral invariants, and state some of their relevant basic properties, followed by a discussion of what was announced in the title of this talk, the continuity of these invariants with respect to the data involved in their definition (more precisely, a Hamiltonian, a nonzero quantum cohomology class, and the symplectic structure itself). The talk will be addressed to a general topology/geometry audience, with many examples and computations (plus some pictures). Ample motivation for every step of our story will be given. This is work in progress.
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