Cohomology of symplectic reductions of generic coadjoint orbits

DOI10.1090/S0002-9939-04-07443-XzbMath1065.53065arXivmath/0210434OpenAlexW1712494729MaRDI QIDQ4813732

Augustin-Liviu Mare, Rebecca Goldin

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210434

zbMATH Keywords

equivariant cohomologyweight varietiescompact semisimple Lie groupsymplectic reductions

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Momentum maps; symplectic reduction (53D20)

Cites Work

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• The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)
• Integral homology of real flag manifolds and loop spaces of symmetric spaces
• An effective algorithm for the cohomology ring of symplectic reductions.
• Kostant polynomials and the cohomology ring for \(G/B\)
• The cohomology rings of symplectic quotients
• The cohomology ring of weight varieties and polygon spaces

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