32 citations · 88 across the 8 of their papers we have counts for
6 papers · 1 filter
Courant-Nijenhuis algebroids
Henrique Bursztyn, Thiago Drummond, Clarice Netto
We introduce Courant 1-derivations, which describe a compatibility between Courant algebroids and linear (1,1)-tensor fields and lead to the notion of Courant-Nijenhuis algebroids.…
Dirac structures and Nijenhuis operators
Henrique Bursztyn, Thiago Drummond, Clarice Netto
We introduce a notion of compatibility between (almost) Dirac structures and (1,1)-tensor fields extending that of Poisson-Nijenhuis structures. We study several properties of the…
Differential forms with values in VB-groupoids
Thiago Drummond, Leandro Egea
We introduce multiplicative differential forms on Lie groupoids with values in VB-groupoids. Our main result gives a complete description of these objects in terms of infinitesimal…
Lie groupoids and the Frolicher-Nijenhuis bracket
Henrique Bursztyn, Thiago Drummond
The space of vector-valued forms on any manifold is a graded Lie algebra with respect to the Frolicher-Nijenhuis bracket. In this paper we consider multiplicative vector-valued for…
Lie theory of multiplicative tensors
Henrique Bursztyn, Thiago Drummond
We study tensors on Lie groupoids suitably compatible with the groupoid structure, called {\em multiplicative}. Our main result gives a complete description of these objects only i…
Van Est isomorphism for homogeneous cochains
Alejandro Cabrera, Thiago Drummond
VB-groupoids define a special class of Lie groupoids which carry a compatible linear structure. In this paper, we show that their differentiable cohomology admits a refinement by c…