5 citations · 14 across the 6 of their papers we have counts for
5 papers · 1 filter
Geometric differentiation of simplicial manifolds
Alejandro Cabrera, Matias del Hoyo
We provide a complete geometric solution to the problem of differentiating simplicial manifolds, extending classical Lie theory and complementing existing homotopical and formal ap…
On Hausdorff integrations of Lie algebroids
Matias del Hoyo, Daniel López Garcia
We present Hausdorff versions for Lie Integration Theorems 1 and 2 and apply them to study Hausdorff symplectic groupoids arising from Poisson manifolds. To prepare for these resul…
Geodesics on Riemannian stacks
Matias del Hoyo, Mateus de Melo
Metrics on Lie groupoids and differentiable stacks have been introduced recently, extending the Riemannian geometry of manifolds and orbifolds to more general singular spaces. Here…
On deformations of compact foliations
Matias del Hoyo, Rui Loja Fernandes
We combine classic stability results for foliations with recent results on deformations of Lie groupoids and Lie algebroids to provide a cohomological characterization for rigidity…
Lie theory of vector bundles, Poisson geometry and double structures
Henrique Bursztyn, Alejandro Cabrera, Matias del Hoyo
We briefly review our results on the Lie theory underlying vector bundles over Lie groupoids and Lie algebroids, pointing out the role of Poisson geometry in extending these result…