Trace and transfer maps in the algebraic \(K\)-theory of spaces

DOI10.1007/s10977-005-3639-8zbMath1116.19001OpenAlexW1967014855MaRDI QIDQ864964

Christopher L. Douglas

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1007/s10977-005-3639-8

zbMATH Keywords

fixed pointstracetransferstable homotopy

Mathematics Subject Classification ID

Algebraic (K)-theory of spaces (19D10) Transfer for fiber spaces and bundles in algebraic topology (55R12)

Related Items (3)

On transfer maps in the algebraic \(K\)-theory of spaces ⋮ The transfer map of free loop spaces ⋮ The refined transfer, bundle structures, and algebraicK-theory

Cites Work

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• The transfer map and fiber bundles
• The fixed point transfer of fiber-preserving maps
• The cyclotomic trace and algebraic K-theory of spaces
• The fixed point index of fibre-preserving maps
• Categories and cohomology theories
• A parametrized index theorem for the algebraic \(K\)-theory Euler class.
• Fixed point problems, equivariant stable homotopy, and a trace map for the algebraic \(K\)-theory of a point

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