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# Justin Sawon : Holomorphic coisotropic reduction

Let Y be a hypersurface in a 2n-dimensional holomorphic symplectic manifold X. The restriction $\sigma|_Y$ of the holomorphic symplectic form induces a rank one foliation on Y. If this "characteristic foliation" has compact leaves, then the space of leaves Y/F is a holomorphic symplectic manifold of dimension 2n-2. This construction also works when Y is a coisotropic submanifold of higher codimension, and is known as "coisotropic reduction". In this talk we will consider when the characteristic foliation has compact leaves, and look at some applications of coisotropic reduction.

**Category**: Geometry and Topology**Duration**: 01:34:56**Date**: February 10, 2009 at 4:25 PM**Views**: 162-
**Tags:**seminar, Geometry/topology Seminar

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