Geometry & Topology 5 (2001) 109–125

DOI: 10.2140/gt.2001.5.109

arXiv: math.GT/0005043

Abstract

We show that any 3–dimensional homotopy lens space M³ that is simple-homotopy equivalent to a lens space L(p,q) is topologically s-cobordant to the lens space. It follows that M has the same multi-signature as L(p,q) and the action of π₁(M) on the universal cover of M embeds in a free orthogonal action on S⁷.

Keywords

Reidemeister torsion, lens space, multi-signature, s-cobordism

Mathematical Subject Classification

Primary: 57M60, 57N70

Secondary: 57R65, 57R80

References

Forward citations

Publication

Received: 20 November 2000
Accepted: 30 January 2001
Published: 24 February 2001
Proposed: Robion Kirby
Seconded: Walter Neumann, Wolfgang Metzler

Authors