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arXiv · 1304.5704

Cohomology of the de Rham complex twisted by the oscillatory representation

Svatopluk Krýsl
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Abstract

We introduce a Hilbert $A$-module structure on the higher oscillatory module, where $A$ denotes the $C^*$-algebra of bounded endomorphisms of the basic oscillatory module. We also define the notion of an exterior covariant derivative in an $A$-Hilbert bundle and use it for a construction of an $A$-elliptic complex of differential operators for certain symplectic manifolds equipped with a symplectic connection.

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Svatopluk Krýsl. 2013-04-21. Cohomology of the de Rham complex twisted by the oscillatory representation. https://doi.org/10.1016/j.difgeo.2013.10.007

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