The disk complex and topologically minimal surfaces in the 3-sphere
Geometric Topology
2020-04-23 v3
Abstract
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 Heegaard surfaces for the 3-sphere are topologically minimal with index .
Cite
@article{arxiv.1912.03329,
title = {The disk complex and topologically minimal surfaces in the 3-sphere},
author = {Marion Campisi and Luis Torres},
journal= {arXiv preprint arXiv:1912.03329},
year = {2020}
}