The geometry of \(\Omega^2S^3\) and braid orientations

DOI10.1007/BF01391176zbMath0439.55002OpenAlexW2006598897MaRDI QIDQ1142463

Ralph L. Cohen

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142672

zbMATH Keywords

braid groupsBrown-Gitler spectrumhomotopy equivalences of Thom spectrasecond loop space of 3-sphere

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60) Stable homotopy theory, spectra (55P42) Loop spaces (55P35) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20)

Related Items (5)

An Integral Version of the Brown-Gitler Spectrum ⋮ Marked homeomorphisms and the realization problem ⋮ Eilenberg-Mac Lane spectra as equivariant Thom spectra ⋮ Stable splittings of surface mapping spaces ⋮ Integral Brown-Gitler Spectra

Cites Work

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• \(H_{\infty}\) ring spectra and their applications
• The homology of iterated loop spaces
• \(E_\infty\) ring spaces and \(E_\infty\) ring spectra. With contributions by Frank Quinn, Nigel Ray, and Jorgen Tornehave
• A new infinite family in \(_2\pi^s_1\)
• Braid orientations and bundles with flat connections
• The mod-\(p\) lower central series and the Adams spectral sequence
• The geometry of iterated loop spaces
• A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra
• Splitting of some more spaces
• K(Z/2) as a Thom Spectrum
• On the Stable Decomposition of Ω 2 S r+2
• A Stable Decomposition of ω ^N Sⁿ X

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