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Maximal commutative subalgebras, Poisson geometry and Hochschild homology

Tomasz Maszczyk
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Abstract

A Poisson geometry arising from maximal commutative subalgebras is studied. A spectral sequence convergent to Hochschild homology with coefficients in a bimodule is presented. It depends on the choice of a maximal commutative subalgebra inducing appropriate filtrations. Its E^{2}_{p,q}-groups are computed in terms of canonical homology with values in a Poisson module defined by a given bimodule and a maximal commutative subalgebra.

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Tomasz Maszczyk. 2006-03-15. Maximal commutative subalgebras, Poisson geometry and Hochschild homology. https://arxiv.org/abs/math/0603386

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