Towards a \(2\)-dimensional notion of holonomy

DOI10.3934/jgm.2022011zbMath1492.18015OpenAlexW2951008162MaRDI QIDQ2161920

Ronald Brown, İlhan İçen

Publication date: 5 August 2022

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2022011

zbMATH Keywords

Lie groupoidsholonomyhomotopycrossed moduledouble groupoidlinear section

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05)

Cites Work

• The graph of a foliation
• Tensor products and homotopies for \(\omega\)-groupoids and crossed complexes
• The holonomic imperative and the homotopy groupoid of a foliated manifold
• On the algebra of cubes
• Determination of a double Lie groupoid by its core diagram
• Double Lie algebroids and second-order geometry. I
• The holonomy groupoid of a locally topological groupoid
• Groupoids and crossed objects in algebraic topology
• Homotopies and automorphisms of crossed modules of groupoids
• On operators in relative homotopy groups
• On the Connection between the Second Relative Homotopy Groups of Some Related Spaces
• Catégories structurées
• Combinatorial homotopy. II
• Lie local subgroupoids and their holonomy and monodromy Lie groupoids
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