Freeness and equivariant stable homotopy

DOI10.1112/topo.12227zbMath1530.55007arXiv1910.00664OpenAlexW4288100709MaRDI QIDQ6096941

Michael A. Hill

Publication date: 15 September 2023

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00664

zbMATH Keywords

spectral sequencesequivariant stable homotopy theoryequivariant cohomologyequivariant spectraequivariant spectral sequences

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Equivariant homotopy theory in algebraic topology (55P91) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Dyer-Lashof operations (55S12) Generalized cohomology and spectral sequences in algebraic topology (55T25) Equivariant homotopy groups (55Q91) Products and intersections in homology and cohomology (55N45) Relations between equivariant and nonequivariant homotopy theory in algebraic topology (55P92) Equivariant operations and obstructions in algebraic topology (55S91)

Related Items (3)

Odd primary analogs of real orientations ⋮ The \(\mathrm{RO}(C_4)\) cohomology of the infinite real projective space ⋮ Topology. Abstracts from the workshop held July 24--30, 2022

Cites Work

• Unnamed Item
• Unnamed Item
• Conjugation spaces and equivariant Chern classes
• On the fractions of semi-Mackey and Tambara functors
• The slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory
• A structure theorem for \(RO(C_2)\)-graded Bredon cohomology
• Real orientations of Lubin-Tate spectra
• Graded Tambara functors
• On the André-Quillen homology of Tambara functors
• The topological Singer construction
• On the slice spectral sequence
• On the algebras over equivariant little disks
• The freeness theorem for equivariant cohomology of rep \((C_2)\)-complexes
• The \(RO(C_2)\)-graded cohomology of \(C_2\)-surfaces in \(\underline{\mathbb{Z} / 2}\)-coefficients
• Bigraded cohomology of \(\mathbb{Z}/2\)-equivariant Grassmannians
• A freeness theorem for \(RO(\mathbb Z/2)\)-graded cohomology
• An equivariant tensor product on Mackey functors
• \(G\)-symmetric monoidal categories of modules over equivariant commutative ring spectra
• Subalgebras of the \(\mathbb{Z}/2\)-equivariant Steenrod algebra
• The \(C_2\)-spectrum \(\mathrm{Tmf}_1(3)\) and its invertible modules
• Lectures on the Eilenberg-Moore spectral sequence
• Steenrod operations in the Eilenberg-Moore spectral sequence
• Conjugation spaces
• \(G\)-symmetric spectra, semistability and the multiplicative norm
• On the nonexistence of elements of Kervaire invariant one
• Cohomologie modulo 2 des complexes d'Eilenberg-MacLane
• Algebraic cobordism and 𝐾-theory
• Homology of the classical groups over the Dyer-Lashof algebra
• EQUIVARIANT UNIVERSAL COEFFICIENT AND KÜNNETH SPECTRAL SEQUENCES
• Steenrod and Dyer-Lashof Operations on BU
• The 𝑅𝑂(𝐺)-graded equivariant ordinary homology of 𝐺-cell complexes with even-dimensional cells for 𝐺=ℤ/𝕡
• A $C_2$-equivariant analog of Mahowald’s Thom spectrum theorem
• On multiplicative transfer
• Conjugation spaces are cohomologically pure
• The cohomology of classifying spaces of 𝐻-spaces
• Conjugations on complex manifolds and equivariant homotopy of 𝑀𝑈
• SUR LES GROUPES D'EILENBERG-MAC LANE. II
• Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence

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