47 citations · 299 across the 23 of their papers we have counts for
12 papers · 1 filter
The functor between two categories of graded manifolds
Martha Valentina Guarin Escudero, Alexei Kotov
This paper examines -graded manifolds as semiformal homogeneity structures, comparing two polynomial filtrations from their local models. In finite dimensions, these ar…
Normal forms of -graded -manifolds
Alexei Kotov, Camille Laurent-Gengoux, Vladimir Salnikov
Following recent results of A.K. and V.S. on -graded manifolds, we give several local and global normal forms results for -structures on those, i.e. for differential…
Various instances of Harish-Chandra pairs
Alexei Kotov, Vladimir Salnikov
In this paper we address several algebraic constructions in the context of groupoids, algebroids and -graded manifolds. We generalize the results of integration of $\mat…
On Dirac structures admitting a variational approach
Oscar Cosserat, Camille Laurent-Gengoux, Alexei Kotov +2
We discuss the notion of basic cohomology for Dirac structures and, more generally, Lie algebroids. We then use this notion to characterize the obstruction to a variational formula…
The category of -graded manifolds: what happens if you do not stay positive
Alexei Kotov, Vladimir Salnikov
In this paper we discuss the categorical properties of -graded manifolds. We start by describing the local model paying special attention to the differences in comparis…
Differential graded Lie groups and their differential graded Lie algebras
Benoit Jubin, Alexei Kotov, Norbert Poncin +1
In this paper we discuss the question of integrating differential graded Lie algebras (DGLA) to differential graded Lie groups (DGLG). We first recall the classical problem of inte…