Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Thin position and bridge number for knots

Student-Run Geometry/Topology Seminar

Speaker: Fabiola Manjarrez-Gutierrez, UC Davis
Location: 593 Kerr
Start time: Thu, Dec 2 2004, 1:10PM

I will define thin position for a knot in S^3. I will discuss some important properties of a knot in thin position. Finally I will show that either a knot in thin position realizes its bridge number or the complement of the knot has an incompressible meridional planar surface.