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of 138
pro vyhledávání: '"Kotov, Alexei A."'
Following recent results of A.K. and V.S. on $\mathbb Z$-graded manifolds, we give several local and global normal forms results for $Q$-structures on those, i.e. for differential graded manifolds. In particular, we explain in which sense their relev
Externí odkaz:
http://arxiv.org/abs/2212.05579
Autor:
Kotov, Alexei, Salnikov, Vladimir
In this paper we address several algebraic constructions in the context of groupoids, algebroids and $\mathbb Z$-graded manifolds. We generalize the results of integration of $\mathbb N$-graded Lie algebras to the honest $\mathbb Z$-graded case and p
Externí odkaz:
http://arxiv.org/abs/2207.07083
Autor:
Kotov, Alexei A.1,2 (AUTHOR) ilkombarov9192@gmail.com, Adashev, Vladimir E.1,2 (AUTHOR) adashev.vladimir@gmail.com, Kombarov, Ilia A.2 (AUTHOR), Bazylev, Sergei S.1,2 (AUTHOR) bazylevser@gmail.com, Shatskikh, Aleksei S.2 (AUTHOR), Olenina, Ludmila V.1,2 (AUTHOR) olenina_ludmila@mail.ru
Publikováno v:
International Journal of Molecular Sciences. Jun2024, Vol. 25 Issue 11, p5681. 26p.
Publikováno v:
Math. Mech. Compl. Sys. 11 (2023) 1-18
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 formulation of Dirac dynamics.
Externí odkaz:
http://arxiv.org/abs/2109.00313
Autor:
Kotov, Alexei, Salnikov, Vladimir
In this paper we discuss the categorical properties of $\mathbb{Z}$-graded manifolds. We start by describing the local model paying special attention to the differences in comparison to the $\mathbb{N}$-graded case. In particular we explain the origi
Externí odkaz:
http://arxiv.org/abs/2108.13496
Autor:
Kotov, Alexei, Salnikov, Vladimir
Publikováno v:
In Differential Geometry and its Applications April 2024 93
Autor:
Grigoriev, Maxim, Kotov, Alexei
Any local gauge theory can be represented as an AKSZ sigma model (upon parameterization if necessary). However, for non-topological models in dimension higher than 1 the target space is necessarily infinite-dimensional. The interesting alternative kn
Externí odkaz:
http://arxiv.org/abs/2008.11690
Akademický článek
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Autor:
Kotov, Alexei, Salnikov, Vladimir
Publikováno v:
In Journal of Geometry and Physics September 2023 191
Publikováno v:
In Journal of Geometry and Physics September 2023 191