Higher Whitehead groups of certain bundles over Seifert manifolds
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- by A. J. Nicas and C. W. Stark PDF
- Proc. Amer. Math. Soc. 91 (1984), 1-5 Request permission
Abstract:
Vanishing results for ${\text {W}}{{\text {h}}_j}({\pi _1}M) \otimes R(R = {\mathbf {Z}},{\mathbf {Q}},{\text { or }}{\mathbf {Z}}[1/2])$ are obtained when $M$ is a closed aspherical manifold which is the total space of a bundle over an insufficiently large Seifert manifold with infinite fundamental group of hyperbolic type. Allowable fibers include Riemannian flat manifolds and closed aspherical manifolds with poly-${\mathbf {Z}}$ fundamental groups. Corollaries. concern the homotopy groups of the group ${\text {TOP}}(M)$ of self-homeomorphisms of $M$.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 1-5
- MSC: Primary 18F25; Secondary 57T20
- DOI: https://doi.org/10.1090/S0002-9939-1984-0735551-4
- MathSciNet review: 735551