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Lecture Event
A Maslov Map for Coisotropic Submanifolds
Dr. Fabian Ziltener (Toronto)
14 Jul 2009, 15:30

Let $ (M,\omega)$ be a symplectic manifold, $ N\sub M$ a coisotropic submanifold, $ S\sub N$ a finite union of isotropic leaves, and $ \Si$ a compact oriented real surface. This gives rise to a natural real valued map on the set of homotopy classes of continuous maps from $ \Si$ to $ M$ that map the boundary of $ \Si$ to $ S$. This map agrees with the usual Maslov index if $ N$ is Lagrangian. The main result is a lower bound on the number of leaf-wise fixed points of a Hamiltonian diffeomorphism if $ M$ is closed and $ N$ is a closed, monotone and regular coisotropic submanifold.

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Lecture Events 2009