Genus bounds for min-max minimal surfaces
Differential Geometry
2016-07-08 v2 Geometric Topology
Abstract
We prove optimal genus bounds for minimal surfaces arising from the min-max construction of Simon-Smith. This confirms a conjecture made by Pitts-Rubinstein in 1986.
Keywords
Cite
@article{arxiv.1312.2666,
title = {Genus bounds for min-max minimal surfaces},
author = {Daniel Ketover},
journal= {arXiv preprint arXiv:1312.2666},
year = {2016}
}
Comments
Some simplifications made, details added, typos fixed