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 may be obtained by an (n/1)-Dehn surgery on a homology 3-sphere if and only if the linking form of 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.
@article{bwmeta1.element.bwnjournal-article-fmv144i3p287bwm,
author = {Craig Guilbault},
title = {Homology lens spaces and Dehn surgery on homology spheres},
journal = {Fundamenta Mathematicae},
volume = {144},
year = {1994},
pages = {287-292},
zbl = {0842.57014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv144i3p287bwm}
}
Guilbault, Craig. Homology lens spaces and Dehn surgery on homology spheres. Fundamenta Mathematicae, Tome 144 (1994) pp. 287-292. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv144i3p287bwm/
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