On the homotopy fixed point problem for free loop spaces and other function complexes

DOI10.1007/BF00533990zbMath0736.55009OpenAlexW2033722461MaRDI QIDQ1176980

Gunnar Carlsson

Publication date: 25 June 1992

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00533990

zbMATH Keywords

finite groupfree loop spacecosimplicial spacefinite \(G\)-complexesfunction complexhomotopy fixed pointhomotopy spectral sequencessplitting of equivariant stable homotopystable homotopy of free loop spacesstable homotopy of function complexes

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Loop spaces (55P35) Equivariant homotopy theory in algebraic topology (55P91) Infinite loop spaces (55P47)

Related Items (2)

Higher topological cyclic homology and the Segal conjecture for tori ⋮ Equivariant operads, string topology, and Tate cohomology

Cites Work

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• Equivariant homotopy classification
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• The Segal conjecture for compact Lie groups
• Transformation groups and representation theory
• Equivariant stable homotopy and Sullivan's conjecture
• Orbittypen und äquivariante Homologie. II
• Torsion in homotopy groups
• Calculus. I: The first derivative of pseudoisotopy theory
• Equivariant cohomology theories
• Homotopy limits, completions and localizations
• A vanishing theorem in homological algebra
• On the Homology Spectral Sequence of a Cosimplicial Space

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