50 citations · 81 across the 4 of their papers we have counts for
5 papers · 1 filter
On the cohomology of differentiable stacks
Matias del Hoyo, Cristian Ortiz, Fernando Studzinski
Morita equivalence classes of Lie groupoids serve as models for differentiable stacks, which are higher spaces in differential geometry, generalizing manifolds and orbifolds. Repre…
The Chern-Weil-Lecomte characteristic map for -algebras
Juan Sebastian Herrera-Carmona, Cristian Ortiz
In this paper we extend the Chern-Weil-Lecomte characteristic map to the setting of -algebras. In this general framework, characteristic classes of -algebra…
Complex Dirac structures with constant real index on flag manifolds
Cristian Ortiz, Carlos Varea
In this paper we describe all invariant complex Dirac structures with constant real index on a maximal flag manifold in terms of the roots of the Lie algebra which defines the flag…
On the Lie 2-algebra of sections of an LA-groupoid
Cristian Ortiz, James Waldron
In this work we introduce the category of multiplicative sections of an $\la$-groupoid. We prove that this category carries natural strict Lie 2-algebra structures, which are Morit…
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…