3 papers
math.DG2026
Stratified vector fields on orbit spaces
Mateus de Melo, Juan Sebastian Herrera-Carmona, Fabricio Valencia
Using Morita type stratifications, we establish a one-to-one correspondence between geometric vector fields on a separated differentiable stack and stratified vector fields on its…
math.DG2025
Novikov type inequalities for orbifolds
Fabricio Valencia
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 applicati…
math.DG2024
Morse theory on Lie groupoids
Cristian Ortiz, Fabricio Valencia
In this paper we introduce Morse Lie groupoid morphisms and study their main properties. We show that this notion is Morita invariant which gives rise to a well defined notion of M…