Connectivity of the set of triangulations of a 3- or 4-manifold

Geometry Topology Seminar
Friday, April 14, 2017 - 14:00
1 hour (actually 50 minutes)
Skiles 006
Oklahoma State University
This is joint work with Hyam Rubinstein. Matveev and Piergallini independently show that the set of triangulations of a three-manifold is connected under 2-3 and 3-2 Pachner moves, excepting triangulations with only one tetrahedron. We give a more direct proof of their result which (in work in progress) allows us to extend the result to triangulations of four-manifolds.