3-Manifold Seminar: Tait colorings and instanton homology

Seminar | February 6 | 12:40-2 p.m. | 891 Evans Hall

 Ian Agol, UC Berkeley

 Department of Mathematics

We'll begin discussing Kronheimer and Mrowka's paper, which introduces an instanton invariant of spatial cubic graphs, and conjectures that if the graph is planar, it gives the number of Tait colorings. Non-vanishing of their invariant for bridgeless graphs is proved via a transformation into non-vanishing of sutured instanton homology. We'll begin by giving an overview of their theory.