Equivariant cohomology, syzygies and orbit structure

DOI10.1090/S0002-9947-2014-06165-5zbMath1304.55005arXiv1111.0957OpenAlexW3103170067MaRDI QIDQ2930659

Matthias Franz, Christopher Allday, Volker Puppe

Publication date: 19 November 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.0957

zbMATH Keywords

spectral sequenceequivariant cohomologysyzygyPoincare duality

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Syzygies, resolutions, complexes and commutative rings (13D02) Poincaré duality spaces (57P10)

Related Items (11)

Syzygies in equivariant cohomology in positive characteristic ⋮ Mutants of compactified representations revisited ⋮ The syzygy order of big polygon spaces ⋮ Self-dual binary codes from small covers and simple polytopes ⋮ Affine nil-Hecke algebras and quantum cohomology ⋮ A quotient criterion for syzygies in equivariant cohomology ⋮ Syzygies in Equivariant Cohomology for Non-abelian Lie Groups ⋮ Equivariant Poincaré-Alexander-Lefschetz duality and the Cohen-Macaulay property ⋮ Equivariant de Rham cohomology: theory and applications ⋮ Equivariant Hirzebruch class for singular varieties ⋮ Polynomial assignments

Cites Work

• Vector partition functions and index of transversally elliptic operators
• Infinitesimal index: cohomology computations
• Smooth toral actions
• Exact cohomology sequences with integral coefficients for torus actions
• Cyclic homology and equivariant homology
• The free part of a torus action and related numerical equalities
• Elliptic operators and compact groups
• A spectral sequence for splines
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• Equivariant cohomology, Koszul duality, and the localization theorem
• Combinatorial intersection cohomology for fans.
• Cohomology of regular embeddings
• The Poincaré duality in generalized manifolds
• Topological Schur lemma and related results
• Equivariant Chow cohomology of nonsimplicial toric varieties
• Torus actions whose equivariant cohomology is Cohen-Macaulay
• Freeness of equivariant cohomology and mutants of compactified representations
• Koszul duality and equivariant cohomology for tori
• The Geometry of Syzygies
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