The multiplicativity of fixed point invariants

DOI10.2140/agt.2014.14.1275zbMath1293.55003arXiv1203.0950OpenAlexW1977548015MaRDI QIDQ2444350

Michael Shulman, Kathleen Ponto

Publication date: 9 April 2014

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

Full work available at URL: https://arxiv.org/abs/1203.0950

zbMATH Keywords

traceNielsen numberLefschetz numberReidemeister trace

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20) Fiber spaces in algebraic topology (55R05)

Related Items

Coincidence invariants and higher Reidemeister traces ⋮ Iterated traces in 2-categories and Lefschetz theorems ⋮ Shadows and traces in bicategories ⋮ Traces in symmetric monoidal categories ⋮ Lefschetz indices for \(n\)-valued maps ⋮ The transfer map of free loop spaces ⋮ Topological Hochschild homology and higher characteristics ⋮ The Morita equivalence between parametrized spectra and module spectra ⋮ The linearity of fixed point invariants

Cites Work

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• Coincidence invariants and higher Reidemeister traces
• Shadows and traces in bicategories
• Traces in symmetric monoidal categories
• Equivariant ordinary homology and cohomology
• Fixed point classes of a fiber map
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Nielsen numbers and pullbacks
• Addition formulae for Nielsen numbers and for Nielsen type numbers of fibre preserving maps
• The Nielsen number of a fibre map
• Corrections to The Nielsen number of a fibre map
• Duality and traces for indexed monoidal categories
• Fixed point theory and trace for bicategories
• Framed bicategories and monoidal fibrations
• Lectures on Nielsen fixed point theory
• On the Fixed Point Indices and Nielsen Numbers of Fiber Maps on Jiang Spaces
• Generalized Lefschetz Numbers
• Thom Complexes

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