2 citations · 3 across the 2 of their papers we have counts for
5 papers
Induced -complexes in metaplectic geometry
Svatopluk Krýsl
For a symplectic manifold admitting a metaplectic structure and for a Kuiper map, we construct a complex of differential operators acting on exterior differential forms with values…
Elliptic complexes over -algebras of compact operators
Svatopluk Krýsl
For a -algebra of compact operators and a compact manifold we prove that the Hodge theory holds for -elliptic complexes of pseudodifferential operators acting on s…
Symplectic spinor valued forms and invariant operators acting between them
Svatopluk Krýsl
Exterior differential forms with values in the (Kostant's) symplectic spinor bundle on a manifold with a given metaplectic structure are decomposed into invariant subspaces. Projec…
Hodge theory for elliptic complexes over unital -algebras
Svatopluk Krýsl
We introduce a notion of ellipticity of complexes of linear pseudodifferential operators acting on sections of -Hilbert bundles over smooth manifolds, being a -algebra.…
Complex of twistor operators in symplectic spin geometry
S. Krýsl
For a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure), we construct a sequence consisting of differential operators u…