17 citations · 63 across the 10 of their papers we have counts for
12 papers
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…
Generalized and graded geometry for mechanics: a comprehensive introduction
Vladimir Salnikov, Aziz Hamdouni, Daria Loziienko
In this paper we make an overview of results relating the recent "discoveries" in differential geometry, such as higher structures and differential graded manifolds with some natur…
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…
Some robust integrators for large time dynamics
Dina Razafindralandy, Vladimir Salnikov, Aziz Hamdouni +1
This article reviews some integrators particularly suitable for the numerical resolution of differential equations on a large time interval. Symplectic integrators are presented. T…
From modelling of systems with constraints to generalized geometry and back to numerics
Vladimir Salnikov, Aziz Hamdouni
In this note we describe how some objects from generalized geometry appear in the qualitative analysis and numerical simulation of mechanical systems. In particular we discuss doub…
Supersymmetrization: AKSZ and beyond?
Vladimir Salnikov
In this paper we describe multigraded generalizations of some constructions useful for mathematical understanding of gauge theories: we perform a near-at-hand generalization of the…
Graded geometry in gauge theories and beyond
Vladimir Salnikov
We study some graded geometric constructions appearing naturally in the context of gauge theories. Inspired by a known relation of gauging with equivariant cohomology we generalize…
2d Gauge Theories and Generalized Geometry
Alexei Kotov, Vladimir Salnikov, Thomas Strobl
We show that in the context of two-dimensional sigma models minimal coupling of an ordinary rigid symmetry Lie algebra leads naturally to the appearance of the "gene…
Dirac Sigma Models from Gauging
Vladimir Salnikov, Thomas Strobl
The G/G WZW model results from the WZW-model by a standard procedure of gauging. G/G WZW models are members of Dirac sigma models, which also contain twisted Poisson sigma models a…