Symplectic quotients have symplectic singularities

DOI10.1112/S0010437X19007784zbMath1477.53106arXiv1706.02089MaRDI QIDQ5213385

Gerald W. Schwarz, Christopher Seaton, Hans-Christian Herbig

Publication date: 3 February 2020

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02089

zbMATH Keywords

moment mapHamiltonian actionsingular symplectic reductionsymplectic singularitygraded Gorenstein

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Actions of groups on commutative rings; invariant theory (13A50) Momentum maps; symplectic reduction (53D20) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items

Symplectic reduction along a submanifold ⋮ On the normality of the null-fiber of the moment map for \(\theta\)- and tori representations ⋮ Higher form brackets for even Nambu-Poisson algebras ⋮ Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank 1 Lie groups ⋮ Hilbert series of symplectic quotients by the 2-torus ⋮ Constructing symplectomorphisms between symplectic torus quotients ⋮ Symplectic resolutions of quiver varieties ⋮ Hilbert series associated to symplectic quotients by SU2 ⋮ Short star-products for filtered quantizations. I ⋮ On symplectic resolutions and factoriality of Hamiltonian reductions

Uses Software

• LiE

Cites Work

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