The Goodwillie tower and the EHP sequence

DOI10.1090/S0065-9266-2011-00645-3zbMath1330.55012arXiv1009.1125MaRDI QIDQ5403717

Mark J. Behrens

Publication date: 18 March 2014

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

Full work available at URL: https://arxiv.org/abs/1009.1125

zbMATH Keywords

Goodwillie calculusDyer-Lashof operationsEHP sequenceunstable homotopy groups of spheres

Mathematics Subject Classification ID

Dyer-Lashof operations (55S12) Homotopy groups of spheres (55Q40) Hopf invariants (55Q25) Whitehead products and generalizations (55Q15)

Related Items (17)

\(\mathsf{TQ}\)-completion and the Taylor tower of the identity functor ⋮ Successive spectral sequences ⋮ The topological modular forms of RP2$\mathbb {R}P^2$ and RP2∧CP2$\mathbb {R}P^2 \wedge \mathbb {C}P^2$ ⋮ Growth of homotopy groups of spheres via the Goodwillie–EHP sequence ⋮ Recovering unitary calculus from calculus with reality ⋮ The 2-primary Hurewicz image of \(\operatorname{tmf}\) ⋮ The Goodwillie tower for \(S^1\) and Kuhn's theorem ⋮ The mod 2 homology of free spectral Lie algebras ⋮ Lie algebras and \(v_n\)-periodic spaces ⋮ On the action of the Iwahori–Hecke algebra on modular invariants ⋮ Detecting exotic spheres in low dimensions using coker J ⋮ The action of Young subgroups on the partition complex ⋮ The Whitehead conjecture, the tower ofS¹conjecture, and Hecke algebras of type A ⋮ On the odd primary homology of free algebras over the spectral Lie operad ⋮ Takayasu cofibrations revisited ⋮ Picard groups and duality for real Morava \(E\)-theories ⋮ Gross–Hopkins duals of higher real K–theory spectra

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