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

Geometry/topology Seminar

Henry Segerman (Oklahoma State University)

Monday, April 17, 2017 -
3:15pm to 4:15pm
Location: 
119 Physics

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.