Complex of twistor operators in symplectic spin geometry (Q604815)
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| Language | Label | Description | Also known as |
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| English | Complex of twistor operators in symplectic spin geometry |
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Complex of twistor operators in symplectic spin geometry (English)
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12 November 2010
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A sequence of differential operators acting on symplectic spinor valued exterior differential forms is introduced on a symplectic manifold admitting a metaplectic structure which is the symplectic analogue of a Riemannian spin structure. The main tool in this construction is a symplectic torsion-free affine connection \(\nabla \) and under certain conditions on the curvature of \(\nabla \) the above sequence forms a complex.
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Fedosov manifolds
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metaplectic structures
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symplectic spinors
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Kostant spinors
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Segal-Shale-Weil representation
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complexes of differential operators
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