Vol. 94, No. 1, 1981

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ISSN: 0030-8730
Representations of homology 3-spheres

Hugh M. Hilden

Vol. 94 (1981), No. 1, 125–129
Abstract

Every homology 3-sphere can be represented as a framed link, in the sense of Kirby, of the following special type. There are k disjoint embeddings in S3 of a genus one surface with two boundary components. The link is the 2k boundary components. If q is the linking number of the i-th pair, then one of the components has framing q + 1, the other q 1.

Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57N10
Milestones
Received: 26 December 1979
Published: 1 May 1981
Authors
Hugh M. Hilden