A new formulation of the equivariant slice filtration with applications to $C_p$-slices

DOI10.1090/proc/13906zbMath1395.55014arXiv1703.10526OpenAlexW2604522792MaRDI QIDQ4563673

Carolyn Yarnall, Michael A. Hill

Publication date: 4 June 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10526

zbMATH Keywords

equivariant stable homotopy theoryMackey functorslice filtration

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Equivariant homotopy theory in algebraic topology (55P91) Equivariant homotopy groups (55Q91) Relations between equivariant and nonequivariant homotopy theory in algebraic topology (55P92)

Related Items (4)

Klein four 2-slices and the slices of \(\Sigma^{\pm n}H\underline{\mathbb{Z}}\) ⋮ Odd primary analogs of real orientations ⋮ The Klein four slices of \(\Sigma^n H\underline{\mathbb{F}}_2\) ⋮ Slice filtration of certain \(C_{pq}\)-spectra

Cites Work

• Unnamed Item
• Equivariant homotopy equivalence of group representations
• Operadic multiplications in equivariant spectra, norms, and transfers
• The slices of \(S^n \wedge H \underline{\mathbb{Z}}\) for cyclic \(p\)-groups
• The equivariant slice filtration: a primer
• An Atiyah-Hirzebruch spectral sequence for \(KR\)-theory
• On the nonexistence of elements of Kervaire invariant one

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