Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds
Abstract: 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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds ; volume:6 ; number:1 ; year:2019 ; pages:88-102 ; extent:15
Complex manifolds ; 6, Heft 1 (2019), 88-102 (gesamt 15)
- Urheber
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Poon, Yat Sun
Simanyi, John
- DOI
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10.1515/coma-2019-0004
- URN
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urn:nbn:de:101:1-2410281506392.125737845783
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:30 MESZ
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Beteiligte
- Poon, Yat Sun
- Simanyi, John
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