#### Geometry & Topology, Vol. 5 (2001)
Paper no. 4, pages 109--125.

## Cobordisms and Reidemeister torsions of homotopy lens spaces

### Siddhartha Gadgil

**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 \pi _1(M)
on the universal cover of M embeds in an orthogonal action on S^7.
**Keywords**.
Reidemeister torsion, lens space, multi-signature, s-cobordism

**AMS subject classification**.
Primary: 57M60, 57N70.
Secondary: 57R65, 57R80.

**DOI:** 10.2140/gt.2001.5.109

**E-print:** `arXiv:math.GT/0005043`

Submitted to GT on 20 November 2000.
Paper accepted 30 January 2001.
Paper published 24 February 2001.

Notes on file formats
Siddhartha Gadgil

Department of Mathematics

SUNY at Stony Brook

Stony Brook, NY 11794, USA

Email: gadgil@math.sunysb.edu

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