Dynamic and topological aspects of Hamiltonian Floer theory on surfaces
Dynamic and topological aspects of Hamiltonian Floer theory on surfaces
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Dustin Connery-Grigg, IMJ-PRG
Fine Hall 401
Given a Hamiltonian $H \in C^\infty(S^1 \times M)$, what isÌýthe relationship between the dynamics of the isotopy generated by $H$Ìýand the various Floer-theoretic invariants associated to $H$? In thisÌýtalk I will discuss how — in the case where $M$ is a closed surface —Ìýone can interpret certain spectral invariants in purely dynamical terms,Ìý
in addition to interpreting certain parts of the Hamiltonian FloerÌýcomplex in terms of particularly nice transverse foliations initiallyÌýintroduced by Le Calvez in his study of equivariant Brouwer theory andÌýsurface homeomorphisms.
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