The freeness theorem for equivariant cohomology of rep \((C_2)\)-complexes

DOI10.1016/J.TOPOL.2020.107413OpenAlexW3024167826MaRDI QIDQ2216683

Eric Hogle, Clover May

Publication date: 16 December 2020

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07300

zbMATH Keywords

cohomologyequivarianthomotopy\(R O( C_2)\)-graded

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91)

Related Items (3)

Equivariant \(\underline{\mathbb{Z} / \ell} \)-modules for the cyclic group \(C_2\) ⋮ Freeness and equivariant stable homotopy ⋮ \(RO(C_2)\)-graded cohomology of equivariant Grassmannian manifolds

Cites Work

• On monoid graded local rings.
• Bigraded cohomology of \(\mathbb{Z}/2\)-equivariant Grassmannians
• A freeness theorem for \(RO(\mathbb Z/2)\)-graded cohomology
• The 𝑅𝑂(𝐺)-graded equivariant ordinary homology of 𝐺-cell complexes with even-dimensional cells for 𝐺=ℤ/𝕡
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