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AN EQUIVARIANT DESCRIPTION OF CERTAIN HOLOMORPHIC SYMPLECTIC VARIETIES

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Publication:4607005
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DOI10.1017/S0004972717001095zbMath1388.14134arXiv1709.05717OpenAlexW2964304503MaRDI QIDQ4607005

Peter Crooks

Publication date: 12 March 2018

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05717


zbMATH Keywords

Lie theoryequivariant geometryholomorphic symplectic geometry


Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Momentum maps; symplectic reduction (53D20) Geometries with algebraic manifold structure (51H30)


Related Items (3)

Hessenberg varieties, Slodowy slices, and integrable systems ⋮ Hessenberg varieties and Poisson slices ⋮ An Application of Spherical Geometry to Hyperkähler Slices



Cites Work

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  • Global action-angle variables for non-commutative integrable systems
  • Torus actions on symplectic manifolds
  • Abstract integrable systems on hyperkähler manifolds arising from Slodowy slices
  • Rationally trivial torsors in -homotopy theory
  • Hyperkähler Structures and Group Actions
  • Lie Group Representations on Polynomial Rings


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