The \(RO (\Pi B)\)-graded \(C_2\)-equivariant ordinary cohomology of \(B_{C_2} U(1)\)

DOI10.1016/j.topol.2023.108660arXiv1312.0926OpenAlexW4385606059MaRDI QIDQ6073664

Steven R. Costenoble

Publication date: 18 September 2023

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

Full work available at URL: https://arxiv.org/abs/1312.0926

zbMATH Keywords

classifying spacesprojective spacecharacteristic classesequivariant cohomology

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Equivariant homology and cohomology in algebraic topology (55N91) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Classical problems, Schubert calculus (14N15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivariant ordinary homology and cohomology
• Transformation groups
• The diamond lemma for ring theory
• Equivariant fundamental classes in RO\((C_2)\)-graded cohomology with \(\mathbb{Z}/2\)-coefficients
• The \(C_2\)-equivariant cohomology of complex projective spaces
• \(RO(C_2)\)-graded cohomology of equivariant Grassmannian manifolds
• Bigraded cohomology of \(\mathbb{Z}/2\)-equivariant Grassmannians
• The \(RO(G)\)-graded Serre spectral sequence
• An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory
• On the nonexistence of elements of Kervaire invariant one
• Systems of Fixed Point Sets
• Ordinary 𝑅𝑂(𝐺)-graded cohomology
• The 𝑅𝑂(𝐺)-graded equivariant ordinary homology of 𝐺-cell complexes with even-dimensional cells for 𝐺=ℤ/𝕡
• Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence
• Equivariant orientation theory

This page was built for publication: The \(RO (\Pi B)\)-graded \(C_2\)-equivariant ordinary cohomology of \(B_{C_2} U(1)\)