Windings of closed geodesics
Time and place
12:30 PM on Thursday, October 18th, 2018; NAC 6/114
Claire Burrin (Rutgers University)
Abstract
For closed curves in the plane, the winding number is famously a homotopy invariant, but will not distinguish two curves that, say, differ by a null-homotopic loop. However, in the case of regular curves, the winding number is also a regular homotopy invariant. For a (cusped) hyperbolic hyperbolic surface equipped with a non-vanishing vector field, there is an analogous invariant. We examine growth, distribution, and density results for the number of 'prime' geodesics of fixed winding. This is based on joint work with Flemming von Essen.
