50 citations · 123 across the 8 of their papers we have counts for
4 papers · 1 filter
Deformation spaces and normal forms around transversals
Francis Bischoff, Henrique Bursztyn, Hudson Lima +1
Given a manifold M with a submanifold N, the deformation space D(M,N) is a manifold with a submersion to R whose zero fiber is the normal bundle, and all other fibers are equal to…
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…
Linear and multiplicative 2-forms
Henrique Bursztyn, Alejandro Cabrera, Cristian Ortiz
We study the relationship between multiplicative 2-forms on Lie groupoids and linear 2-forms on Lie algebroids, which leads to a new approach to the infinitesimal description of mu…
Reduction of Courant algebroids and generalized complex structures
Henrique Bursztyn, Gil R. Cavalcanti, Marco Gualtieri
We present a theory of reduction for Courant algebroids as well as Dirac structures, generalized complex, and generalized Kähler structures which interpolates between holomorphic r…