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UID:ced639ffef19f6b72badc86a2820422d
CATEGORIES:Topology/Geometry Seminar
CREATED:20240926T212311
SUMMARY:Avoiding inessential edges
LOCATION:Zoom: https://rutgers.zoom.us/j/98631650574?pwd=spyABPDwz8bGjsfyItGjeCD03Wp
 xG6.1
DESCRIPTION:Results of Matveev, Piergallini, and Amendola show that any two triangulati
 ons of a three-manifold with the same number of vertices are related to eac
 h other by a sequence of local combinatorial moves (namely, 2-3 and 3-2 mov
 es). For some applications however, we need our triangulations to have cert
 ain properties, for example that all edges are essential. (An edge is iness
 ential if both ends are incident to a single vertex, into which the edge ca
 n be homotoped.) We show that if the universal cover of the manifold has in
 finitely many boundary components, then the set of essential ideal triangul
 ations is connected under 2-3, 3-2, 0-2, and 2-0 moves. Our results have ap
 plications in veering triangulations and in quantum invariants such as the 
 1-loop invariant. This is joint work with Tejas Kalelkar and Saul Schleimer
 .\n
X-ALT-DESC;FMTTYPE=text/html:<p>Results of Matveev, Piergallini, and Amendola show that any two triangul
 ations of a three-manifold with the same number of vertices are related to 
 each other by a sequence of local combinatorial moves (namely, 2-3 and 3-2 
 moves). For some applications however, we need our triangulations to have c
 ertain properties, for example that all edges are essential. (An edge is in
 essential if both ends are incident to a single vertex, into which the edge
  can be homotoped.) We show that if the universal cover of the manifold has
  infinitely many boundary components, then the set of essential ideal trian
 gulations is connected under 2-3, 3-2, 0-2, and 2-0 moves. Our results have
  applications in veering triangulations and in quantum invariants such as t
 he 1-loop invariant. This is joint work with Tejas Kalelkar and Saul Schlei
 mer.</p>
CONTACT:Henry Segerman (Oklahoma State)
DTSTAMP:20260826T212756
DTSTART;TZID=America/New_York:20241029T160000
DTEND;TZID=America/New_York:20241029T170000
SEQUENCE:0
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