Some homology lens spaces which bound rational homology balls

Abstract

A homology lens space is a smooth closed 3-manif old M3with Hk(M3) = Hk(L(p, l)) for all k (p some nonnegative integer). When p= 1 M3is a homology 3-sphere. It is an open question which of these homology lens spaces bound rational homology balls and of special interest which homology 3-spheres bound contractible manifolds. In this note we answer this question for certain Seifert fibre spaces, each with three exceptional fibres. © 1981, University of California, Berkeley. All Rights Reserved.