Obstructions to stably fibering manifolds

DOI10.2140/gt.2012.16.1691zbMath1251.19003arXiv1105.4744OpenAlexW2007537081MaRDI QIDQ441129

Wolfgang Steimle

Publication date: 20 August 2012

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

Full work available at URL: https://arxiv.org/abs/1105.4744

zbMATH Keywords

fibering of manifoldsobstructions for fibering

Mathematics Subject Classification ID

Topology of infinite-dimensional manifolds (57N20) Whitehead (and related) torsion (19J10) Fiber bundles in algebraic topology (55R10)

Cites Work

• The stability theorem for smooth pseudoisotopies
• Obstructions to fibering a manifold
• The transfer maps induced in the algebraic \(K_ 0\)- and \(K_ 1\)-groups by a fibration. II
• The Whitehead torsion of a fiber-homotopy equivalence
• A parametrized index theorem for the algebraic \(K\)-theory Euler class.
• Topological methods in algebraic geometry. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel.
• Fibering manifolds over a circle
• Classification problems in differential topology. IV: Thickenings
• Finiteness conditions for CW-complexes. I, II.
• Fibrations over spheres
• Cell-like mappings. I
• A total Whitehead torsion obstruction of fibering over the circle
• Higher Whitehead torsion and the geometric assembly map
• On Spaces Having the Homotopy Type of a CW-Complex
• The refined transfer, bundle structures, and algebraicK-theory
• Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92)
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
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