English

Morse index of min-max stationary integral varifolds

Differential Geometry 2026-01-07 v1 Analysis of PDEs Metric Geometry

Abstract

We prove an upper bound for the Morse index of min-max stationary integral varifolds realizing the dd-dimensional pp-width of a closed Riemannian manifold.

Keywords

Cite

@article{arxiv.2601.02860,
  title  = {Morse index of min-max stationary integral varifolds},
  author = {Mitchell Gaudet and Talant Talipov},
  journal= {arXiv preprint arXiv:2601.02860},
  year   = {2026}
}

Comments

32 pages, 5 figures