Bigraded cohomology of \(\mathbb{Z}/2\)-equivariant Grassmannians
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Publication:2260552
DOI10.2140/gt.2015.19.113zbMath1314.55003arXiv1209.5067OpenAlexW3121252367MaRDI QIDQ2260552
Publication date: 11 March 2015
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.5067
topological degreeweightMackey functorequivariant characteristic classesclassical Borel theoryEilenberg-Mclane cohomologyequivariant Grassmannianrank \(k\) equivariant bundles
Equivariant homology and cohomology in algebraic topology (55N91) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)
Related Items (7)
The \(RO (\Pi B)\)-graded \(C_2\)-equivariant ordinary cohomology of \(B_{C_2} U(1)\) ⋮ Freeness and equivariant stable homotopy ⋮ The freeness theorem for equivariant cohomology of rep \((C_2)\)-complexes ⋮ Bigraded invariants for real curves ⋮ \(RO(C_2)\)-graded cohomology of equivariant Grassmannian manifolds ⋮ The \(C_2\)-equivariant cohomology of complex projective spaces ⋮ A structure theorem for \(RO(C_2)\)-graded Bredon cohomology
Uses Software
Cites Work
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- The \(RO(G)\)-graded Serre spectral sequence
- A freeness theorem for \(RO(\mathbb Z/2)\)-graded cohomology
- Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki
- A minimal set of generators for the ring of multisymmetric functions
- An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory
- Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
- The mod-2 cohomology rings of symmetric groups
- Operations in equivariant ℤ/p-cohomology
- The 𝑅𝑂(𝐺)-graded equivariant ordinary homology of 𝐺-cell complexes with even-dimensional cells for 𝐺=ℤ/𝕡
- K-THEORY AND REALITY
- \(\mathbb{A}^1\)-homotopy theory of schemes
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