Homotopy linear involutions on spheres in the unstable range

DOI10.1007/BF01171032zbMath0608.57031OpenAlexW2081422161MaRDI QIDQ1085848

Peter Loeffler

Publication date: 1986

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155156

zbMATH Keywords

desuspension obstructionrealizing exotic spheres as fixed point setssmooth involutionstopologically equivalent to linear involutions

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17) Equivariant homotopy theory in algebraic topology (55P91) Equivariant cobordism (57R85)

Cites Work

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• Exotic spheres as stationary sets of homotopy sphere involutions
• Homotopielineare \(Z_ p-\)Operationen auf Sphären
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• Differentiable group actions on homotopy spheres. I: Differential structure and the knot invariant
• Äquivariante Homotopie. I
• Equivariant function spaces and stable homotopy theory. I
• Groups of homotopy spheres. I
• Homotopy Sphere Pairs Admitting Semifree Differentiable Actions
• The metastable homotopy of 𝑂(𝑛)
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces
• Diffeomorphisms of manifolds and semifree actions on homotopy spheres
• Involutions on homotopy spheres

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