An equivariant generalization of the Miller splitting theorem

DOI10.2140/AGT.2012.12.643zbMath1396.55011arXiv1103.6213OpenAlexW1996148357MaRDI QIDQ422117

Harry E. Ullman

Publication date: 16 May 2012

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.6213

zbMATH Keywords

isometryfunctional calculusresiduecofibre sequenceGysin mapMiller splitting

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Equivariant homotopy theory in algebraic topology (55P91) Relations between equivariant and nonequivariant homotopy theory in algebraic topology (55P92)

Related Items (3)

Multiplicative structure in the stable splitting of \(\Omega S L_n(\mathbb{C})\) ⋮ Global stable splittings of Stiefel manifolds ⋮ Suspension splittings and self-maps of flag manifolds

Cites Work

• Stable splittings of Stiefel manifolds
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Calculus. II: Analytic functors
• The Weiss derivatives of BO(-) and BU(-)
• Common subbundles and intersections of divisors
• The Mitchell-Richter filtration of loops on Stiefel manifolds stably splits
• Multicurves and equivariant cohomology
• COHOMOLOGY SPLITTINGS OF STIEFEL MANIFOLDS
• Equivariant orthogonal spectra and 𝑆-modules
• Axiomatic stable homotopy theory
• Orthogonal Calculus
• On the formal group laws of unoriented and complex cobordism theory
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