Kähler spaces, nilpotent orbits, and singular reduction

DOI10.1090/memo/0814zbMath1070.53052arXivmath/0104213OpenAlexW2963752164MaRDI QIDQ4652369

Johannes Huebschmann

Publication date: 25 February 2005

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

Full work available at URL: https://arxiv.org/abs/math/0104213

zbMATH Keywords

Poisson manifoldstratified spaceholomorphic nilpotent orbit

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Infinite-dimensional Lie (super)algebras (17B65) Momentum maps; symplectic reduction (53D20) Poisson algebras (17B63) Associated manifolds of Jordan algebras (17C36)

Related Items (11)

Orbits of families of vector fields on subcartesian spaces. ⋮ The topology of moduli spaces of free group representations ⋮ A gauge model for quantum mechanics on a stratified space ⋮ Singular unitarity in ``quantization commutes with reduction ⋮ Kirillov's character formula, the holomorphic Peter-Weyl theorem, and the Blattner-Kostant-Sternberg pairing ⋮ On the reflection type decomposition of the adjoint reduced phase space of a compact semisimple Lie group ⋮ Reduction of generalized complex structures ⋮ Singular Poisson-Kähler geometry of Scorza varieties and their secant varieties ⋮ Stratified Kähler structures on adjoint quotients ⋮ Hilbert series associated to symplectic quotients by SU2 ⋮ Symplectic reduction at zero angular momentum

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