47 citations · 299 across the 23 of their papers we have counts for
23 papers
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…
CayleyPy-4: AI-Holography. Towards analogs of holographic string dualities for AI tasks
A. Chervov, F. Levkovich-Maslyuk, A. Smolensky +41
This is the fourth paper in the CayleyPy project, which applies AI methods to the exploration of large graphs. In this work, we suggest the existence of a new discrete version of h…
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…