poisson homology
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scholarly journals A note on the duality between Poisson homology and cohomology

2020 ◽  
Vol 48 (10) ◽  
pp. 4170-4175
Author(s):  
Jiafeng Lü ◽  
Xingting Wang ◽  
Guangbin Zhuang
Keyword(s):  
Poisson Homology

scholarly journals Zeroth Poisson Homology, Foliated Cohomology and Perfect Poisson Manifolds

2018 ◽  
Vol 23 (1) ◽  
pp. 47-53
Author(s):  
David Martínez-Torres ◽  
Eva Miranda
Keyword(s):  
Poisson Manifolds ◽  
Poisson Homology

scholarly journals Twisted Poisson Homology of Truncated Polynomial Algebras in Four Variables

2018 ◽  
Vol 06 (09) ◽  
pp. 1817-1824
Author(s):  
Yaxiu Wang ◽  
Can Zhu ◽  
Janhua Hu
Keyword(s):  
Polynomial Algebras ◽  
Poisson Homology

scholarly journals Twisted Poincaré duality between Poisson homology and Poisson cohomology

2015 ◽  
Vol 442 ◽  
pp. 484-505 ◽  
Author(s):  
J. Luo ◽  
S.-Q. Wang ◽  
Q.-S. Wu
Keyword(s):  
Poincaré Duality ◽  
Poincare Duality ◽  
Poisson Homology ◽  
Poisson Cohomology

scholarly journals On (co)homology of Frobenius Poisson algebras

2014 ◽  
Vol 14 (2) ◽  
pp. 371-386 ◽  
Author(s):  
Can Zhu ◽  
Fred Van Oystaeyen ◽  
Yinhuo Zhang
Keyword(s):  
Bilinear Form ◽  
Hochschild Cohomology ◽  
Cohomology Ring ◽  
Poisson Algebra ◽  
Hochschild Homology ◽  
Poisson Algebras ◽  
Poisson Homology ◽  
Poisson Cohomology ◽  
Frobenius Algebras

AbstractIn this paper, we study Poisson (co)homology of a Frobenius Poisson algebra. More precisely, we show that there exists a duality between Poisson homology and Poisson cohomology of Frobenius Poisson algebras, similar to that between Hochschild homology and Hochschild cohomology of Frobenius algebras. Then we use the non-degenerate bilinear form on a unimodular Frobenius Poisson algebra to construct a Batalin-Vilkovisky structure on the Poisson cohomology ring making it into a Batalin-Vilkovisky algebra.

scholarly journals Hypertoric Poisson homology in degree zero

2014 ◽  
Vol 1 (3) ◽  
pp. 261-270 ◽  
Author(s):  
Nicholas Proudfoot
Keyword(s):  
Degree Zero ◽  
Poisson Homology

scholarly journals Poisson homology in degree 0 for some rings of symplectic invariants

2009 ◽  
Vol 322 (10) ◽  
pp. 3580-3613 ◽  
Author(s):  
Frédéric Butin
Keyword(s):  
Poisson Homology ◽  
Symplectic Invariants
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