Geodesic
Homology lens spaces and Dehn surgery on homology spheres
Fundamenta Mathematicae, Tome 144 (1994) no. 3, pp. 287-292

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A homology lens space is a closed 3-manifold with ℤ-homology groups isomorphic to those of a lens space. A useful theorem found in [Fu] states that a homology lens space $M^3$ may be obtained by an (n/1)-Dehn surgery on a homology 3-sphere if and only if the linking form of $M^3$ is equivalent to (1/n). In this note we generalize this result to cover all homology lens spaces, and in the process offer an alternative proof based on classical 3-manifold techniques.
DOI : 10.4064/fm-144-3-287-292

Craig R. Guilbault  1

1 
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Craig R. Guilbault . Homology lens spaces and Dehn surgery on homology spheres. Fundamenta Mathematicae, Tome 144 (1994) no. 3, pp. 287-292. doi: 10.4064/fm-144-3-287-292

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