The \(\mathrm{RO}(C_4)\) cohomology of the infinite real projective space

DOI10.2140/agt.2024.24.277arXiv2104.11407OpenAlexW3157834802MaRDI QIDQ6131555

Nick Georgakopoulos

Publication date: 5 April 2024

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

Full work available at URL: https://arxiv.org/abs/2104.11407

zbMATH Keywords

projective spacealgebraic topologyspectral sequencesequivarianthomotopy theoryMackey functor\(\mathrm{RO}(G)\) graded homology

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Equivariant homotopy theory in algebraic topology (55P91)

Cites Work

• The slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory
• A structure theorem for \(RO(C_2)\)-graded Bredon cohomology
• The \(RO(C_2)\)-graded cohomology of \(C_2\)-surfaces in \(\underline{\mathbb{Z} / 2}\)-coefficients
• The cohomology structure of certain fibre spaces. I
• On the nonexistence of elements of Kervaire invariant one
• Galois equivariance and stable motivic homotopy theory
• Stable Maps into Free G-Spaces
• Generalized Tate cohomology
• On the 𝐶_{𝑝}-equivariant dual Steenrod algebra
• Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence
• Freeness and equivariant stable homotopy

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