\(RO(C_2)\)-graded cohomology of equivariant Grassmannian manifolds

zbMath1464.55009arXiv1806.01537MaRDI QIDQ2223062

Eric Hogle

Publication date: 28 January 2021

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

Full work available at URL: https://arxiv.org/abs/1806.01537

zbMATH Keywords

equivariant topologyBredon cohomologyGrassmannian manifold

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Grassmannians, Schubert varieties, flag manifolds (14M15) Homology with local coefficients, equivariant cohomology (55N25) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)

Related Items (1)

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

Cites Work

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

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