Hamiltonian Group Actions and Equivariant Cohomology

DOI10.1007/978-3-030-27227-2zbMath1447.53002OpenAlexW2975778417MaRDI QIDQ5233543

Lisa C. Jeffrey, Jonathan Herman, Shubham Dwivedi, Theo van Den Hurk

Publication date: 11 September 2019

Published in: SpringerBriefs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-27227-2

zbMATH Keywords

symplectic manifoldsconvexity theoremtoric manifoldsequivariant cohomologygeometric quantizationmoment mapsDuistermaat-Heckman theoremHamiltonian group actionssymplectic quotientsDarboux's theoremflat connections on Riemann surfacesorbits of the coadjoint action

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Symplectic geometry, contact geometry (53Dxx)

Related Items (7)

Reduction of multisymplectic manifolds ⋮ Coadjoint orbits and Kähler structure: examples from coherent states ⋮ On the continuity of Weil-Petersson volumes of the moduli space weighted points on the projective line ⋮ Locality of relative symplectic cohomology for complete embeddings ⋮ Stability conditions for polarised varieties ⋮ Manifestly covariant worldline actions from coadjoint orbits. I: Generalities and vectorial descriptions ⋮ The rectangular peg problem

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