The Hilbert Series of a Linear Symplectic Circle Quotient

DOI10.1080/10586458.2013.863745zbMath1301.53091arXiv1302.2662OpenAlexW3098007167MaRDI QIDQ5418074

Christopher Seaton, Hans-Christian Herbig

Publication date: 26 May 2014

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

Full work available at URL: https://arxiv.org/abs/1302.2662

zbMATH Keywords

invariant theorycircle actionssingular symplectic reduction

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Momentum maps; symplectic reduction (53D20)

Related Items

The Hilbert series and \(a\)-invariant of circle invariants, On compositions with 𝑥²/(1-𝑥), An impossibility theorem for linear symplectic circle quotients, Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank 1 Lie groups, Hilbert series of symplectic quotients by the 2-torus, The Hilbert series of SL2-invariants, Constructing symplectomorphisms between symplectic torus quotients, Symplectic quotients have symplectic singularities, Hilbert series associated to symplectic quotients by SU2, Orbit spaces of linear circle actions, 7D supersymmetric Yang-Mills on hypertoric 3-Sasakian manifolds, The Laurent Coefficients of the Hilbert Series of a Gorenstein Algebra, When is a symplectic quotient an orbifold?, Symplectic reduction at zero angular momentum

Cites Work

• The Koszul complex of a moment map
• On the existence of star products on quotient spaces of linear Hamiltonian torus actions
• Inequalities defining orbit spaces
• The Hochster-Roberts theorem of invariant theory
• Linear Hamiltonian circle actions that generate minimal Hilbert bases
• Geometric and algebraic reduction for singular momentum maps
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
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