Cobordisms and Reidemeister torsions of homotopy lens spaces

Abstract

We show that any 3-dimensional homotopy lens space M^3 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 π_1(M) on the universal cover of M embeds in an orthogonal action on S^7.

arXiv commentPublished by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper4.abs.html

Cited by in corpus (2)

• Homotopy types of diffeomorphism groups of polar Morse-Bott foliations on lens spaces, 1
• Homotopy types of diffeomorphisms groups of simplest Morse-Bott foliations on lens spaces, 2