BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Henry Segerman (Oklahoma University) DTSTART:20240523T130500Z DTEND:20240523T140000Z DTSTAMP:20260423T035412Z UID:GaTO/102 DESCRIPTION:Title: A voiding inessential edges\nby Henry Segerman (Oklahoma University) as part of Geometry and topology online\n\nLecture held in Room B3.02 in the Zeeman Building\, University of Warwick.\n\nAbstract\nResults of Matveev\, Piergallini\, and Amendola show that any two triangulations of a three-ma nifold with the same number of vertices are related to each other by a seq uence of local combinatorial moves (namely\, 2-3 and 3-2 moves). For some applications however\, we need our triangulations to have certain properti es\, for example that all edges are essential. (An edge is inessential if both ends are incident to a single vertex\, into which the edge can be hom otoped.) We show that if the universal cover of the manifold has infinitel y many boundary components\, then the set of essential ideal triangulation s is connected under 2-3\, 3-2\, 0-2\, and 2-0 moves. Our results have app lications to veering triangulations and to quantum invariants such as the 1-loop invariant. \n\nThis is joint work with Tejas Kalelkar and Saul Schl eimer.\n LOCATION:https://researchseminars.org/talk/GaTO/102/ END:VEVENT END:VCALENDAR