Pseudoholomorphic curves and minimal sets

Pseudoholomorphic curves and minimal sets

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Joel Fish, Institute for Advanced Study
Fine Hall 601

I will discuss some current joint work with Helmut Hofer, in which we use pseudoholomorphic curves to study certain divergence free flows in dimension three. In particular, we show that if H is a smooth, proper, Hamiltonian on R^4, then no energy level of H is minimal.