Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds-Reference-Cited by-同舟云学术

Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds

Published:2019-02-01 Issue:1 Volume:6 Page:88-102
ISSN:2300-7443
Container-title:Complex Manifolds
language:
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Author:

Poon Yat Sun¹,Simanyi John¹

Affiliation:

1. 1Department of Mathematics, University of California,Riverside, CA 92521, U.S.A.

Abstract

AbstractIt is proved that on nilmanifolds with abelian complex structure, there exists a canonically constructed non-trivial holomorphic Poisson structure.We identify the necessary and sufficient condition for its associated cohomology to be isomorphic to the cohomology associated to trivial (zero) holomorphic Poisson structure. We also identify a sufficient condition for this isomorphism to be at the level of Gerstenhaber algebras.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/downloadpdf/journals/coma/6/1/article-p88.xml

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