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Novikov type inequalities for orbifolds

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Author(s):
Valencia, Fabricio
Total Authors: 1
Document type: Journal article
Source: MATHEMATISCHE ANNALEN; v. N/A, p. 30-pg., 2025-06-02.
Abstract

We propose a natural extension of the Novikov numbers for the basic cohomology class of a closed basic 1-form on a proper Lie groupoid of finitely generated type. As an application, we prove corresponding Novikov inequalities for compact orbifolds. (AU)

FAPESP's process: 20/07704-7 - Morse theory on Lie groupoids and stacks
Grantee:Fabricio Valencia Quintero
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 24/14883-6 - Geometry of algebraic curvature operators
Grantee:Fabricio Valencia Quintero
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 22/11994-6 - Closed geodesics on Riemannian stacks
Grantee:Fabricio Valencia Quintero
Support Opportunities: Scholarships abroad - Research Internship - Doctorate