paper

Novikov type inequalities for orbifolds

arXiv:2306.05990

Abstract

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

arXiv comment25 pages. Final version accepted for publication in Mathematische Annalen