Syzygies in Equivariant Cohomology for Non-abelian Lie Groups

DOI10.1007/978-3-319-31580-5_14zbMath1388.55007arXiv1409.0681OpenAlexW2155994901MaRDI QIDQ4608486

Matthias Franz

Publication date: 20 March 2018

Published in: Springer INdAM Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0681

zbMATH Keywords

Cohen-Macaulay moduleequivariant cohomologysyzygynon-abelian Lie groupinfinitesimal orbit type

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Equivariant homology and cohomology in algebraic topology (55N91) Orbifold cohomology (55N32)

Related Items (5)

Syzygies in equivariant cohomology in positive characteristic ⋮ Affine nil-Hecke algebras and quantum cohomology ⋮ A quotient criterion for syzygies in equivariant cohomology ⋮ Equivariant cohomology of cohomogeneity-one actions: the topological case ⋮ On the equivariant cohomology of hyperpolar actions on symmetric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classifying spaces of twisted loop groups
• Torsion in equivariant cohomology and Cohen-Macaulay \(G\)-actions
• Smooth toral actions
• Equivariant cohomologies and Kähler geometry
• Finite orbit structure on locally compact manifolds
• Isotropy structure of compact Lie groups on complexes
• Determinantal rings
• Symplectic surgery and the Spin\(^c\)-Dirac operator
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• A quotient criterion for syzygies in equivariant cohomology
• Non-abelian GKM theory
• Equivariant Poincaré-Alexander-Lefschetz duality and the Cohen-Macaulay property
• Cohomology of the space of commuting \(n\)-tuples in a compact Lie group
• Witten's formulas for intersection pairings on moduli spaces of flat \(G\)-bundles
• Equivariant cohomology, syzygies and orbit structure
• On a Problem of Montgomery
• Seminar on Transformation Groups. (AM-46)
• Big Polygon Spaces
• Hamiltonian torus actions on symplectic orbifolds and toric varieties
• The Geometry of Syzygies
• The infinitesimal index
• Lie Group Representations on Polynomial Rings
• Poincaré duality and equivariant (co)homology.

This page was built for publication: Syzygies in Equivariant Cohomology for Non-abelian Lie Groups