English

An upperbound for the number of critical points of the systole function on the surface moduli space

Geometric Topology 2021-05-17 v1

Abstract

We obtain an upper bound for the number of critical points of the systole function on Mg\mathcal{M}_g. Besides, we obtain an upper bound for the number of those critical points whose systole is smaller than a constant.

Keywords

Cite

@article{arxiv.2105.06739,
  title  = {An upperbound for the number of critical points of the systole function on the surface moduli space},
  author = {Yue Gao},
  journal= {arXiv preprint arXiv:2105.06739},
  year   = {2021}
}

Comments

10 pages, 1 figure