Veering Dehn Surgery

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• Saul Schleimer, Warwick
• Wednesday 03 February 2016, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

(Joint with Henry Segerman.) It is a theorem of Moise that every three-manifold admits a triangulation, and this infinitely many. So, it will be difficult to learn anything really interesting about the three-manifold from most of its triangulations. Thurston introduced ``ideal triangulations’’ for studying manifolds with torus boundary; Lackenby introduced ``taut ideal triangulations’’ for studying the Thurston norm ball; Agol introduced ``veering triangulations’’ for studying punctured surface bundles over the circle. Veering triangulations are very rigid; one current conjecture is that a three-manifold admits only finitely many veering triangulations.

After giving an overview of these ideas, we will introduce ``veering Dehn surgery’’. We use this to give the first infinite families of veering triangulations with various interesting properties.

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

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