On the cohomology of hyperkähler quotients

DOI10.1007/s00031-009-9065-xzbMath1186.53061arXiv0809.4889OpenAlexW2038547215WikidataQ126207815 ScholiaQ126207815MaRDI QIDQ848890

Young-Hoon Kiem, Lisa C. Jeffrey, Frances C. Kirwan

Publication date: 23 February 2010

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4889

zbMATH Keywords

moment mappartial desingularizationKirwan maphyper-kähler quotients

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (2)

Kirwan surjectivity and Lefschetz-Sommese theorems for a generalized hyperkähler reduction ⋮ Canonical bases and higher representation theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a conjecture of Montgomery
• Partial desingularisations of quotients of nonsingular varieties and their Betti numbers
• Hyperkähler metrics and supersymmetry
• Construction of instantons
• Convexity properties of the moment mapping re-examined
• Equivariant sheaves and functors
• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
• The decomposition theorem and the intersection cohomology of quotients in algebraic geometry.
• Holomorphic slices, symplectic reduction and multiplicities of representations
• Singular symplectic moduli spaces
• The stringy E-function of the moduli space of Higgs bundles with trivial determinant
• VARIATION OF TORIC HYPERKÄHLER MANIFOLDS
• COHOMOLOGY RINGS OF TORIC HYPERKÄHLER MANIFOLDS
• A Hyper-KÄHlerian Structure on Coadjoint Orbits of a Semisimple Complex Group

This page was built for publication: On the cohomology of hyperkähler quotients