Vanishing of the Rochlin invariants of some 𝑍₂-homology 3-spheres

Author:

Kawauchi Akio

Abstract

A Z 2 {Z_2} -homology 3-sphere has the Rochlin invariant ( = μ = \mu -invariant) zero if it admits an orientation-reversing, piecewise-linear autohomeomorphism of finite order.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference15 articles.

1. J. S. Birman, Orientation-reversing involution on 3-manifolds (unpublished).

2. Annals of Mathematics Studies, No. 46;Borel, Armand,1960

3. A geometric proof of Rochlin’s theorem;Freedman, Michael,1978

4. Orientation-reversing involutions on homology 3-spheres;Galewski, David E.;Math. Proc. Cambridge Philos. Soc.,1979

5. Branched coverings, open books and knot periodicity;Kauffman, Louis H.;Topology,1974

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