50 citations · 80 across the 3 of their papers we have counts for
3 papers
math.DG2017★ 1 cited
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…
math.DG2009★ 50 cited
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…
math.SG2009★ 29 cited
Multiplicative Dirac structures on Lie groups
Cristian Ortiz
We study multiplicative Dirac structures on Lie groups. We show that the characteristic foliation of a multiplicative Dirac structure is given by the cosets of a normal Lie subgrou…