English

On the existence of high index topologically minimal surfaces

Geometric Topology 2009-09-16 v1

Abstract

The topological index of a surface was previously introduced by the first author as the topological analogue of the index of an unstable minimal surface. Here we show that surfaces of arbitrarily high topological index exist.

Keywords

Cite

@article{arxiv.0909.2693,
  title  = {On the existence of high index topologically minimal surfaces},
  author = {David Bachman and Jesse Johnson},
  journal= {arXiv preprint arXiv:0909.2693},
  year   = {2009}
}

Comments

8 pages, 1 figure