Some homology lens spaces which bound rational homology balls

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.

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Author John Harer Mathematics