The \(C_2\)-effective spectral sequence for \(C_2\)-equivariant connective real \(K\)-theory

DOI10.2140/tunis.2023.5.627arXiv2004.00806OpenAlexW3015167064MaRDI QIDQ6084969

Hana Jia Kong

Publication date: 2 December 2023

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.00806

zbMATH Keywords

spectral sequence\(K\)-theorymotivic stable homotopy theory

Mathematics Subject Classification ID

Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Generalized cohomology and spectral sequences in algebraic topology (55T25) Equivariant homotopy groups (55Q91)

Cites Work

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• A structure theorem for \(RO(C_2)\)-graded Bredon cohomology
• The Adams-Novikov spectral sequence and Voevodsky's slice tower
• The first stable homotopy groups of motivic spheres
• The motivic Hopf map solves the homotopy limit problem for \(K\)-theory
• On the slice spectral sequence
• The cohomology of \(C_2\)-equivariant \(\mathcal{A} (1)\) and the homotopy of \(\operatorname{ko}_{C_2} \)
• On equivariant and motivic slices
• On very effective Hermitian \(K\)-theory
• An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory
• On the nonexistence of elements of Kervaire invariant one
• Convergence of the Motivic Adams Spectral Sequence
• Note sur les opérations de Grothendieck et la réalisation de Betti
• The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
• Stable Stems
• Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence
• \(\mathbb{A}^1\)-homotopy theory of schemes

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