Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds

It 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) holomorp...

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Autores principales:	Poon Yat Sun, Simanyi John
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2019
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9b2b92222bdc44d895126edbc58fc440
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spelling	oai:doaj.org-article:9b2b92222bdc44d895126edbc58fc4402021-12-02T19:08:48ZAlgebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds2300-744310.1515/coma-2019-0004https://doaj.org/article/9b2b92222bdc44d895126edbc58fc4402019-02-01T00:00:00Zhttps://doi.org/10.1515/coma-2019-0004https://doaj.org/toc/2300-7443It 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.Poon Yat SunSimanyi JohnDe GruyterarticleMathematicsQA1-939ENComplex Manifolds, Vol 6, Iss 1, Pp 88-102 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Poon Yat Sun Simanyi John Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds
description	It 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.
format	article
author	Poon Yat Sun Simanyi John
author_facet	Poon Yat Sun Simanyi John
author_sort	Poon Yat Sun
title	Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds
title_short	Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds
title_full	Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds
title_fullStr	Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds
title_full_unstemmed	Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds
title_sort	algebraic structure of holomorphic poisson cohomology on nilmanifolds
publisher	De Gruyter
publishDate	2019
url	https://doaj.org/article/9b2b92222bdc44d895126edbc58fc440
work_keys_str_mv	AT poonyatsun algebraicstructureofholomorphicpoissoncohomologyonnilmanifolds AT simanyijohn algebraicstructureofholomorphicpoissoncohomologyonnilmanifolds
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Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds

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