Hans Duistermaat's contributions to Poisson geometry

DOI10.1007/s00574-011-0035-2zbMath1253.53080arXiv1110.5627OpenAlexW2040012893MaRDI QIDQ420565

Reyer Sjamaar

Publication date: 22 May 2012

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5627

zbMATH Keywords

Hamiltonian dynamicsPoisson geometry

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Poisson manifolds; Poisson groupoids and algebroids (53D17) History of differential geometry (53-03)

Related Items

Picard group of isotropic realizations of twisted Poisson manifolds

Cites Work

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• Integration of twisted Poisson structures
• Differential equations in the spectral parameter
• Monodromy in the quantum spherical pendulum
• The equivariant cohomology theory of twisted generalized complex manifolds
• Zeros d'un champ de vecteurs et classes characteristiques équivariantes
• The moment map and equivariant cohomology
• Le problème général des variables actions-angles. (The general problem of action-angle variables)
• Supersymmetry and Morse theory
• On the variation in the cohomology of the symplectic form of the reduced phase space
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Quantum monodromy in integrable systems
• Trace formulas and the Conley-Zehnder index
• Integrability of Lie brackets
• Integrability of Poisson brackets
• Birational equivalence in the symplectic category
• Formule de Poisson pour les variétés riemanniennes
• Integration of twisted Dirac brackets
• Reduction of generalized Calabi-Yau structures
• Spectrum of the Laplace operator and periodic geodesics: thirty years after
• A Lefschetz fixed point formula for elliptic complexes. I
• The spectral function of an elliptic operator
• A residue formula for holomorphic vector-fields
• Non-integrability of the 1:1:2–resonance
• The quantum mechanical spherical pendulum
• Symplectic groupoids and Poisson manifolds
• Lectures on spectral theory of elliptic operators
• Lie groups
• Quantum monodromy and Bohr-Sommerfeld rules

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