Quantum Topology / Hopf Algebra Seminar
Jonathan Schneider
UIC
Rourke's Torus-Spun Welded Knots
Abstract: (Continuing from Tuesday, Sept 23, 2014)
For every classical knot (of any dimension) there is a 'torus spun' knot
one dimension higher which can be described in two different ways: (1)
Revolve the knot about an axis, or (2) Replace each point of the knot
diagram with a circle in a copy of the plane. The extension of these
methods to virtual or 'welded' knots in dimension one was Rourke's
original motivation to study these objects. Following Rourke, we examine a
possible extension to virtual knots in dimension two.
Tuesday September 30, 2014 at 3:00 PM in SEO 612