8 citations · 12 across the 8 of their papers we have counts for
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Images of elliptic operators on Hilbert bundles on compact manifolds are closed
Svatopluk Krýsl
We prove that the image of an elliptic operator on a smooth separable Hilbert fibre bundle on compact manifolds is closed with respect to the natural pre-Hilbert topology. We consi…
Symplectic spinors and Hodge theory
Svatopluk Krýsl
Results on symplectic spinors and their higher spin versions, concerning representation theory and cohomology properties are presented. Exterior forms with values in the symplectic…
Cohomology of the de Rham complex twisted by the oscillatory representation
Svatopluk Krýsl
We introduce a Hilbert -module structure on the higher oscillatory module, where denotes the -algebra of bounded endomorphisms of the basic oscillatory module. We also…
Structure of the curvature tensor on symplectic spinors
Svatopluk Krýsl
We study symplectic manifolds equipped with a symplectic torsion-free affine (also called Fedosov) connection and admitting a metaplectic structure. Let $\mat…
Classification of 1st order symplectic spinor operators over contact projective geometries
Svatopluk Krýsl
We give a classification of order invariant differential operators acting between sections of certain bundles associated to Cartan geometries of the so called metaplectic…