Topology Seminar (Introductory Talk): Thin position and additive invariants of knots
Seminar | April 5 | 2:10-3 p.m. | 736 Evans Hall
Scott Taylor, Colby College
Seifert genus and bridge number are classical knot invariants that detect the unknot and are additive under connected sum. Other classical knot invariants such as tunnel number, higher genus bridge number, and Gabai width have more complicated stories. I'll review the definitions of these invariants and their (non-)additivity properties. Additionally, I'll explain Scharlemann-Thompson thin position for 3-manifolds and its connection to Gabai's thin position for knots in the 3-sphere.