2 papers
math.GT2021
Vertex distortion detects the unknot
Marion Campisi, Nicholas Cazet, David Crncevic +5
The first two authors introduced vertex distortion and showed that the vertex distortion of the unknot is trivial. It was conjectured that the vertex distortion of a knot is trivia…
math.GT2019
The disk complex and topologically minimal surfaces in the 3-sphere
Marion Campisi, Luis Torres
We show that the disk complex of a genus Heegaard surface for the 3-sphere is homotopy equivalent to a wedge of -dimensional spheres. This implies that genus He…