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arXiv · 2608.17811

Three explicit examples of Lie 2-groupoids

M. Jotz·L. Mußmächer
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Abstract

This note constructs three explicit classes of Lie $2$-groupoids arising from double Lie groupoids via the bar construction of Artin and Mazur, following a result of Mehta and Tang: double Lie groupoids give rise to bisimplicial manifolds whose truncations define Lie $2$-groupoids. This construction is carried out for comma double Lie groupoids (Brown and Mackenzie), transitive double Lie groupoids (Brown and Mackenzie), and split VB-groupoids described by $2$-term representations up to homotopy (Gracia-Saz and Mehta).

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M. Jotz, L. Mußmächer. 2026-08-18. Three explicit examples of Lie 2-groupoids. https://arxiv.org/abs/2608.17811

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