Knots and Dynamics II

Geometry Topology Student Seminar
Wednesday, January 23, 2013 - 13:05
1 hour (actually 50 minutes)
Skiles 006.
Georgia Tech
This is continuation of talk from last week. Periodic orbits of flows on $3$ manifolds show very rich structure. In this talk we will try to prove a theorem of Ghrist, which states that, there exists vector fields on $S^3$ whose set of periodic orbits contains every possible knot and link in $S^3$. The proof relies on template theory.