268 citations · 658 across the 10 of their papers we have counts for
10 papers
Homological Algebra for Superalgebras of Differentiable Functions
David Carchedi, Dmitry Roytenberg
This is the second in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). I…
On Theories of Superalgebras of Differentiable Functions
David Carchedi, Dmitry Roytenberg
This is the first in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). In…
Courant-Dorfman algebras and their cohomology
Dmitry Roytenberg
We introduce a new type of algebra, the Courant-Dorfman algebra. These are to Courant algebroids what Lie-Rinehart algebras are to Lie algebroids, or Poisson algebras to Poisson ma…
On weak Lie 2-algebras
Dmitry Roytenberg
A Lie 2-algebra is a linear category equipped with a functorial bilinear operation satisfying skew-symmetry and Jacobi identity up to natural transformations which themselves obey…
AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories
Dmitry Roytenberg
We give a detailed exposition of the Alexandrov-Kontsevich-Schwarz- Zaboronsky superfield formalism using the language of graded manifolds. As a main illustarting example, to every…
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…