Equivariant Poincaré-Alexander-Lefschetz duality and the Cohen-Macaulay property

DOI10.2140/agt.2014.14.1339zbMath1321.55006arXiv1303.1146OpenAlexW3104537229MaRDI QIDQ2444352

Christopher Allday, Volker Puppe, Matthias Franz

Publication date: 9 April 2014

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1146

zbMATH Keywords

Cohen-Macaulay modulesequivariant cohomologytorus actionshomology manifoldsequivariant homologyAtiyah-Bredon complexPoincaré-Alexander-Lefschetz duality

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Equivariant homology and cohomology in algebraic topology (55N91) Cohen-Macaulay modules (13C14)

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Syzygies in equivariant cohomology in positive characteristic ⋮ The syzygy order of big polygon spaces ⋮ Equivariant cohomology of ${(\mathbb Z_{2})^{r}}$-manifolds and syzygies ⋮ Affine nil-Hecke algebras and quantum cohomology ⋮ A quotient criterion for syzygies in equivariant cohomology ⋮ Syzygies in Equivariant Cohomology for Non-abelian Lie Groups

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