Cobordisms and Reidemeister torsions of homotopy lens spaces
Siddhartha Gadgil
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 an orthogonal action on S7.
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