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In this chapter, we examine various approaches to the notion of Poisson manifold in the context of Banach manifolds. Existing definitions are presented, and differences between them are explored and illustrated with examples.

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Poisson Structures in the Banach Setting: Comparison of Different Approaches

  • 会议论文

  • 发表日期：

    2025年

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  • Tomasz Goliński,
  • Praful Rahangdale,
  • Alice Barbora Tumpach

摘要

In this chapter, we examine various approaches to the notion of Poisson manifold in the context of Banach manifolds. Existing definitions are presented, and differences between them are explored and illustrated with examples.