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SUMMARY:Veering Dehn Surgery - Saul Schleimer\, Warwick
DTSTART:20160203T160000Z
DTEND:20160203T170000Z
UID:TALK62766@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:(Joint with Henry Segerman.)  It is a theorem of Moise that ev
 ery 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 tr
 iangulations'' for studying manifolds with torus boundary\; Lackenby intro
 duced ``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 curr
 ent conjecture is that a three-manifold admits only finitely many veering 
 triangulations. \n\nAfter giving an overview of these ideas\, we will intr
 oduce ``veering Dehn surgery''.  We use this to give the first infinite fa
 milies of veering triangulations with various interesting properties.
LOCATION:MR13
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