Gromov-Uhlenbeck Compactness and the Atiyah-Floer Conjecture

Gromov-Uhlenbeck Compactness and the Atiyah-Floer Conjecture

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Max Lipyanskiy , Columbia University
Fine Hall 314

Let M be a symplectic manifold with a hamiltonian group action by G. We introduce an analytic framework that relates holomorphic curves in the symplectic quotient of M to gauge theory on M. As an application of these ideas, we discuss the relation between instanton Floer homology and Lagrangian Floer homology of representation varieties.