Equivariant homology decompositions for cyclic group actions on definite 4-manifolds

MaRDI QIDQ2680131

Pinka Dey, Aparajita Karmakar, Samik Basu

Publication date: 27 January 2023

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12874

zbMATH Keywords

4-manifoldsequivariant homotopyequivariant homology

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Finite transformation groups (57S17) Equivariant homotopy theory in algebraic topology (55P91)

Cites Work

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• A structure theorem for \(RO(C_2)\)-graded Bredon cohomology
• On G-functors. II: Hecke operators and G-functors
• Permutations; isotropy and smooth cyclic group actions on definite 4-manifolds
• The \(RO(C_2)\)-graded cohomology of \(C_2\)-surfaces in \(\underline{\mathbb{Z} / 2}\)-coefficients
• Bredon cohomology of finite dimensional \(C_p\)-spaces
• A freeness theorem for \(RO(\mathbb Z/2)\)-graded cohomology
• Computations in \(C_{pq}\)-Bredon cohomology
• Equivariant orthogonal spectra and 𝑆-modules
• The Equivariant Hurewicz Map
• The 𝑅𝑂(𝐺)-graded equivariant ordinary homology of 𝐺-cell complexes with even-dimensional cells for 𝐺=ℤ/𝕡

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