3 citations · 3 across the 3 of their papers we have counts for
5 papers
Lie Groupoids
Henrique Bursztyn, Matias del Hoyo
A Lie groupoid can be thought of as a generalization of a Lie group in which the multiplication is only defined for certain pairs of elements. From another perspective, Lie groupoi…
Higher Vector Bundles
Matias del Hoyo, Giorgio Trentinaglia
We introduce higher analogs for cleavages in the context of (Kan) simplicial fibrations. We apply them to obtain geometric models for representations up to homotopy of (higher) Lie…
Poisson double structures
Henrique Bursztyn, Alejandro Cabrera, Matias del Hoyo
We introduce Poisson double algebroids, and the equivalent concept of double Lie bialgebroid, which arise as second-order infinitesimal counterparts of Poisson double groupoids. We…
The general linear 2-groupoid
Matias del Hoyo, Davide Stefani
We deal with the symmetries of a (2-term) graded vector space or bundle. Our first theorem shows that they define a (strict) Lie 2-groupoid in a natural way. Our second theorem exp…
Morita equivalences of vector bundles
Matias del Hoyo, Cristian Ortiz
We study vector bundles over Lie groupoids, known as VB-groupoids, and their induced geometric objects over differentiable stacks. We establish a fundamental theorem that character…