English

Novikov type inequalities for orbifolds

Differential Geometry 2025-05-16 v2 Algebraic Topology

Abstract

We propose a natural extension of the Novikov numbers for the basic cohomology class of a closed basic 11-form on a proper Lie groupoid of finitely generated type. As an application, we prove corresponding Novikov inequalities for compact orbifolds.

Keywords

Cite

@article{arxiv.2306.05990,
  title  = {Novikov type inequalities for orbifolds},
  author = {Fabricio Valencia},
  journal= {arXiv preprint arXiv:2306.05990},
  year   = {2025}
}

Comments

25 pages. Final version accepted for publication in Mathematische Annalen

R2 v1 2026-06-28T11:01:10.763Z