Poisson (co)homology of truncated polynomial algebras in two variables

Details Poisson (co)homology of truncated polynomial algebras in two variables Poisson (co)homology of truncated polynomial algebras in two variables

2008-05-30

arxiv.org/abs/0805.4694v1

Mathematics

K-Theory and Homology

6 pages

Scientific paper

We study the Poisson (co)homology of the algebra of truncated polynomials in
two variables viewed as the semi-classical limit of a quantum complete
intersection studied by Bergh and Erdmann. We show in particular that the
Poisson cohomology ring of such a Poisson algebra is isomorphic to the
Hochschild cohomology ring of the corresponding quantum complete intersection.

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