Bigraded cochain complexes and Poisson cohomology
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Publication:6315068
arXiv1903.01727MaRDI QIDQ6315068
Eduardo Velasco-Barreras, Andrés Pedroza, Yu Vorobjev
Publication date: 5 March 2019
Abstract: We present an algebraic framework for the computation of low-degree cohomology of a class of bigraded complexes which arise in Poisson geometry around (pre)symplectic leaves. We also show that this framework can be applied to the more general context of Lie algebroids. Finally, we apply our results to compute the low-degree cohomology in some particular cases.
Poisson manifolds; Poisson groupoids and algebroids (53D17) Foliations (differential geometric aspects) (53C12) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Connections (general theory) (53C05) Chain complexes (category-theoretic aspects), dg categories (18G35)
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