255 citations · 676 across the 36 of their papers we have counts for
41 papers
Lie Groupoids
Henrique Bursztyn, Matias del Hoyo
A Lie groupoid can be thought of as a generalization of a Lie group in which the multiplication is only defined for certain pairs of elements. From another perspective, Lie groupoi…
Graded geometry and generalized reduction
Henrique Bursztyn, Alberto S. Cattaneo, Rajan Amit Mehta +1
We present general reduction procedures for Courant, Dirac and generalized complex structures, in particular when a group of symmetries is acting. We do so by taking the graded sym…
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…
Poisson double structures
Henrique Bursztyn, Alejandro Cabrera, Matias del Hoyo
We introduce Poisson double algebroids, and the equivalent concept of double Lie bialgebroid, which arise as second-order infinitesimal counterparts of Poisson double groupoids. We…
Morita equivalence of formal Poisson structures
Henrique Bursztyn, Inocencio Ortiz, Stefan Waldmann
We extend the notion of Morita equivalence of Poisson manifolds to the setting of {\em formal} Poisson structures, i.e., formal power series of bivector fields $π=π_0 + λπ_1 +\cdot…