Critical Heegaard Surfaces and Index 2 Minimal Surfaces

Details Critical Heegaard Surfaces and Index 2 Minimal Surfaces Critical Heegaard Surfaces and Index 2 Minimal Surfaces

2002-03-27

arxiv.org/abs/math/0203279v1

Mathematics

Geometric Topology

9 pages; For proceedings of the conference "Heegaard Splittings and Dehn surgeries of 3-manifolds", Kyoto University Research

Scientific paper

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.

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