32 citations · 88 across the 8 of their papers we have counts for
8 papers
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…
Lie-Nijenhuis bialgebroids
Thiago Drummond
We introduce Lie-Nijenhuis bialgebroids as Lie bialgebroids endowed with an additional derivation-like object. They give a complete infinitesimal description of Poisson-Nijenhuis g…
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…
Generalized reduction and pure spinors
Thiago Drummond
We study reduction of Dirac structures from the point of view of pure spinors. We describe explicitly the pure spinor line bundle of the reduced Dirac structure. We also obtain res…