Some homology lens spaces which bound rational homology balls

Andrew J. Casson and John L. Harer

Vol. 96 (1981), No. 1, 23–36

DOI: 10.2140/pjm.1981.96.23

Abstract

A homology lens space is a smooth closed 3-manifold M³ with H_k(M³) = H_k(L(p,1)) for all k (p some nonnegative integer). When p = 1 M³ is 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.

Mathematical Subject Classification 2000

Primary: 57N10

Secondary: 14J17

Milestones

Received: 19 April 1978

Published: 1 September 1981