Cobordisms and Reidemeister torsions of homotopy lens spaces

Details Cobordisms and Reidemeister torsions of homotopy lens spaces Cobordisms and Reidemeister torsions of homotopy lens spaces

2000-05-04

arxiv.org/abs/math/0005043v2

Geom. Topol. 5(2001) 109-125

Mathematics

Geometric Topology

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

Scientific paper

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 \pi_1(M) on the universal cover of M embeds in an orthogonal
action on S^7.

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