Floer simple manifolds and L-space intervals

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• Sarah Rasmussen, Cambridge
• Wednesday 27 May 2015, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Jake Rasmussen.

Any 3 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. This tool allows us to recharacterize the set of L-space Seifert-fibered spaces, and to prove a conjecture of Boyer and Clay about L-spaces formed from gluing 3-manifolds along a torus. This is joint work with Jake Rasmussen.

This talk is part of the Differential Geometry and Topology Seminar series.

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