Critical Heegaard Surfaces and Index 2 Minimal Surfaces
Geometric Topology
2007-05-23 v1 Differential Geometry
Abstract
This paper contains the motivation for the study of critical surfaces. In previous work the only justification given for the definition of this new class of surfaces is the strength of the results. However, when viewed as the topological analogue to index 2 minimal surfaces, critical surfaces become quite natural.
Cite
@article{arxiv.math/0203279,
title = {Critical Heegaard Surfaces and Index 2 Minimal Surfaces},
author = {David Bachman},
journal= {arXiv preprint arXiv:math/0203279},
year = {2007}
}
Comments
9 pages; For proceedings of the conference "Heegaard Splittings and Dehn surgeries of 3-manifolds", Kyoto University Research Institute for Mathematical Sciences, June 2001