Introduction to Symplectic Dirac Operators - ISBN:3540334203

Introduction to Symplectic Dirac Operators

Date: 14 April 2011, 01:53

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One of the basic ideas in differential geometry is that the study of analytic properties of certain differential operators acting on sections of vector bundles yields geometric and topological properties of the underlying base manifold. Symplectic spinor fields are sections in an L^2-Hilbert space bundle over a symplectic manifold and symplectic Dirac operators, acting on symplectic spinor fields, are associated to the symplectic manifold in a very natural way.

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