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C0Rigidity in Hofer Geometry and Floer Theory


This dissertation explores two instances of C0 rigidity in symplectic geometry: First, we prove that continuous Hamiltonian flows as defined by Oh and M\"uller have unique generators. Second, we study the behavior of certain Floer theoretic invariants of Hamiltonian flows, called spectral invariants, under C0 perturbations of Hamiltonian flows.

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