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The Poisson bracket invariant for open covers consisting of topological disks on surfaces

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Publication:6150158
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DOI10.3836/tjm/1502179384arXiv1905.07939OpenAlexW4288349979MaRDI QIDQ6150158

Guang-Cun Lu, Kun Shi

Publication date: 6 February 2024

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07939


zbMATH Keywords

symplectic manifoldsPoisson brackettopological disksdisplaceable sets


Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17)





Cites Work

  • Poisson brackets and symplectic invariants
  • Spectral killers and Poisson bracket invariants
  • Poisson brackets of partitions of unity on surfaces
  • Quasi-morphisms and the Poisson bracket
  • Quantum unsharpness and symplectic rigidity
  • A homotopical viewpoint at the Poisson bracket invariants for tuples of sets
  • Smooth covers on symplectic manifolds
  • Symplectic geometry of quantum noise
  • Quasi-states and symplectic intersections
  • Spectral invariants of distance functions
  • Function Theory on Symplectic Manifolds
  • On the topological properties of symplectic maps




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