GÖKOVA GEOMETRY / TOPOLOGY PROCEEDINGS

Published in Proceedings of Gökova Geometry-Topology Conference 2017
Title Homology spheres yielding lens spaces
Author Motoo Tange
Abstract
It is known by the author that there exist 20 families of Dehn surgeries in the Poincar\'e homology sphere yielding lens spaces. In this paper, we give the concrete knot diagrams of the families and extend them to families of lens space surgeries in Brieskorn homology spheres. We illustrate families of lens space surgeries in \(\Sigma(2,3,6n\pm1)\) and \(\Sigma(2,2s+1,2(2s+1)n\pm1)\) and so on. As other examples, we give lens space surgeries in graph homology spheres, which are obtained by splicing two Brieskorn homology spheres.
Pages73-121
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Last updated: March 2019
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