An L-space is a 3-manifold whose Heegaard Floer homology is as
simple as possible. An L-space knot is a knot with a non-trivial L-space
surgery; examples are torus knots and Berge knots. Moore asked if the
double branched cover of a hyperbolic L-space knot is ever an L-space. We
show that if the n-fold cyclic branched cover of an (arbitrary) L-space
knot K is an L-space then n < or = 5 , and obtain strong restrictions on
K when n = 3,4 or 5.
This is joint work with Michel Boileau and Steve Boyer.
Minimal Surface Seminar
Tuesday, September 26, 2017 - 4:30pm
Cameron Gordon
University of Texas