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Minimal Surface Seminar

Tuesday, September 26, 2017 - 4:30pm

Cameron Gordon

University of Texas


University of Pennsylvania


The speaker, Cameron Gordon, will also give a Colloquium talk the following day, Wednesday September 27 in DRL A6, with tea at 3 PM in DRL 4E17.

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.