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October 7, 2025Open Access

Twisted Poincar\'e duality for orientable Poisson manifolds

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Authors

TQT. Y. QiFudan UniversityQWQuanshui WuFudan University

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Implication

Geometric methods establish a chain isomorphism in Poisson cochain complexes, highlighting dualities.

Key Points

  • Establishing twisted Poincaré duality connects Poisson homologies and cohomologies in orientable manifolds.
  • An explicit chain isomorphism is proven between Poisson cochain and chain complexes using a modular vector field.
  • The study extends prior results on duality theorems for smooth Poisson algebras to orientable Poisson manifolds.
  • Connections with flat contravariant bundles enhance the understanding of geometric modules in this framework.

Cite This Study

Qi et al. (2025) studied this question.

synapsesocial.com/papers/68e5a0557f330f793683f330https://doi.org/10.48550/arxiv.2502.16480
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