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Proper Cartan Groupoids: Reduction to the Regular Case

2022/10/01 by Giorgio Trentinaglia, Trentinaglia, Giorgio
Mathematics · #53C10 #58C15 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Primary 58H05 #Secondary 53C05

paper · pdf · doi:10.48550/arxiv.2210.00323

openalex publication_date 2022/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a method for constructing multiplicative connections on proper Lie groupoids or, more exactly, for reducing the task of constructing such connections to a number of in principle simpler tasks involving only Lie groupoids that are both proper and regular.

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