Higher Whitehead Groups of Certain Bundles Over Seifert Manifolds

DOI10.2307/2045256zbMath0565.57012OpenAlexW4243580529MaRDI QIDQ3679918

Christopher W. Stark, Andrew J. Nicas

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045256

zbMATH Keywords

Whitehead groupWhitehead torsionbundles over Seifert manifoldsfundamental of aspherical manifoldshomotpy groups of the group of self-homeomorphismspoly-\({\mathbb{Z}}\) fundamental groupsRiemannian flat manifolds

Mathematics Subject Classification ID

Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Homotopy groups of special spaces (55Q52) Differential topological aspects of diffeomorphisms (57R50)

Related Items

\(K_ 2\) invariants of 3-dimensional pseudoisotopies, An infinite family of non-Haken hyperbolic 3-manifolds with vanishing Whitehead groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The topological-Euclidean space form problem
• Vanishing of Whitehead groups for Seifert manifolds with infinite fundamental group
• Induction and structure theorems for orthogonal representations of finite groups
• Parametrized surgery and isotopy
• Algebraic K-theory of generalized free products. II
• Seifert manifolds
• [https://portal.mardi4nfdi.de/wiki/Publication:3670195 Topological Characterization of Flat and Almost Flat Riemannian Manifolds M n (n � 3, 4)]
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Induction theorems for groups of homotopy manifold structures
• Structure Sets Vanish for Certain Bundles over Seifert Manifolds