Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8905141 | Advances in Mathematics | 2017 | 68 Pages |
Abstract
An oriented three-manifold with torus boundary admits either no L-space Dehn filling, a unique L-space filling, or an interval of L-space fillings. In the latter case, which we call “Floer simple,” we construct an invariant which computes the interval of L-space filling slopes from the Turaev torsion and a given slope from the interval's interior. As applications, we give a new proof of the classification of Seifert fibered L-spaces over S2, and prove a special case of a conjecture of Boyer and Clay [6] about L-spaces formed by gluing three-manifolds along a torus.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jacob Rasmussen, Sarah Dean Rasmussen,