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Zeroth Poisson Homology, Foliated Cohomology and Perfect Poisson Manifolds

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Institut Cavanilles de Biodiversitat i Biologia Evolutiva (ICBiBE); Universitat de València = University of Valencia (UV); Departament de Matemàtiques Barcelona (UAB); Universitat Autònoma de Barcelona = Autonomous University of Barcelona = Universidad Autónoma de Barcelona (UAB); Institut de Mécanique Céleste et de Calcul des Ephémérides (IMCCE); Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris; Centre National de la Recherche Scientifique (CNRS)-Université Paris Sciences et Lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Sciences et Lettres (PSL)-Université de Lille-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS); Observatoire de Paris; Centre National de la Recherche Scientifique (CNRS)-Université Paris Sciences et Lettres (PSL); ANR-10-LABX-0098,SMP,Fondation Sciences Mathématiques de Paris(2010)
    • بيانات النشر:
      CCSD
      MAIK Nauka/Interperiodica
    • الموضوع:
      2018
    • Collection:
      Archive de l'Observatoire de Paris (HAL)
    • نبذة مختصرة :
      International audience ; We prove that for regular Poisson manifolds, the zeroth homology group is isomorphic to the top foliated cohomology group and we give some applications. In particular, we show that for regular unimodular Poisson mani-folds top Poisson and foliated cohomology groups are isomorphic. Inspired by the symplectic setting, we define what is a perfect Poisson manifold. We use these Poisson homology computations to provide families of perfect Poisson manifolds.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/1709.01176; ARXIV: 1709.01176; BIBCODE: 2018RCD.23.47M
    • الرقم المعرف:
      10.1134/S1560354718010045
    • الدخول الالكتروني :
      https://hal.science/hal-02316380
      https://hal.science/hal-02316380v1/document
      https://hal.science/hal-02316380v1/file/1709.01176%20%281%29.pdf
      https://doi.org/10.1134/S1560354718010045
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.4F6407FA