FIXED POINTS AND COINCIDENCES IN TORUS BUNDLES

DOI10.1142/S1793525311000519zbMath1226.55002arXiv1002.1852OpenAlexW2963327718MaRDI QIDQ3020559

Ulrich Koschorke

Publication date: 4 August 2011

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1852

zbMATH Keywords

bordismNielsen numbercoincidencetorus bundleReidemeister invariant

Mathematics Subject Classification ID

Obstruction theory in algebraic topology (55S35) Fixed points and coincidences in algebraic topology (55M20) Fiber bundles in algebraic topology (55R10)

Related Items (3)

Coincidences of Fibrewise Maps Between Sphere Bundles Over the Circle ⋮ Minimum numbers and Wecken theorems in topological coincidence theory. I ⋮ Minimal fixed point set of fiber-preserving maps on \(T\)-bundles over \(S^1\)

Cites Work

• Reidemeister coincidence invariants of fiberwise maps
• Nielsen coincidence theory of fibre-preserving maps and Dold's fixed point index
• Fixed points and braids
• Minimizing the number of fixed points for self-maps of compact surfaces
• Commutativity and Wecken properties for fixed points on surfaces and 3- manifolds
• Fixed points and braids. II
• The fixed point index of fibre-preserving maps
• Addition formulae for Nielsen numbers and for Nielsen type numbers of fibre preserving maps
• Self-coincidence of mappings between spheres and the strong Kervaire invariant one problem
• Fixed point sets of fiber-preserving maps
• Nonstabilized Nielsen coincidence invariants and Hopf-Ganea homomorphisms
• Fixed points on torus fiber bundles over the circle
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