The cohomology of \(C_2\)-surfaces with \(\underline{\mathbb{Z}}\)-coefficients

DOI10.1007/s40062-022-00321-yOpenAlexW4317581778MaRDI QIDQ2690066

Christy Hazel

Publication date: 15 March 2023

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.04656

zbMATH Keywords

equivariant homotopy theoryequivariant cohomologysurfaces with involution

Mathematics Subject Classification ID

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

Cites Work

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• Bigraded invariants for real curves
• A structure theorem for \(RO(C_2)\)-graded Bredon cohomology
• Smooth equivariant triangulations of G-manifolds for G a finite group
• The \(RO(C_2)\)-graded cohomology of \(C_2\)-surfaces in \(\underline{\mathbb{Z} / 2}\)-coefficients
• Involutions on surfaces
• An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory
• On the nonexistence of elements of Kervaire invariant one

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