4 papers
Poisson cohomology of SU(2)-covariant 'necklace' Poisson structures on S^{2}
Dmitry Roytenberg
We compute the Poisson cohomology of the one-parameter family of SU(2)-covariant Poisson structures on the homogeneous space S^{2}=CP^{1}=SU(2)/U(1), where SU(2) is endowed with it…
On the structure of graded symplectic supermanifolds and Courant algebroids
Dmitry Roytenberg
This paper is devoted to a study of geometric structures expressible in terms of graded symplectic supermanifolds. We extend the classical BRST formalism to arbitrary pseudo-Euclid…
Quasi-Lie bialgebroids and twisted Poisson manifolds
Dmitry Roytenberg
We develop a theory of quasi-Lie bialgebroids using a homological approach. This notion is a generalization of quasi-Lie bialgebras, as well as twisted Poisson structures with a 3-…
Courant algebroids, derived brackets and even symplectic supermanifolds
Dmitry Roytenberg
In this dissertation we study Courant algebroids, objects that first appeared in the work of T. Courant on Dirac structures; they were later studied by Liu, Weinstein and Xu who us…