English

Systoles on punctured spheres

Geometric Topology 2025-09-16 v2 Differential Geometry

Abstract

We determine the maximal number of systoles among all spheres with nn punctures endowed with a complete Riemannian metric of finite area.

Keywords

Cite

@article{arxiv.2504.11175,
  title  = {Systoles on punctured spheres},
  author = {Sebastian Baader and Jasmin Jörg},
  journal= {arXiv preprint arXiv:2504.11175},
  year   = {2025}
}

Comments

7 pages, 2 figures. v2: Minor changes, corresponds to published version

R2 v1 2026-06-28T22:59:06.123Z