Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Hirota, Yuji"'
Autor:
Hirota, Yuji, Ikeda, Noriaki
Reduction theorem for Poisson manifolds with Hamiltonian Lie algebroids is presented. The notion of compatibility of a momentum section is introduced to the category of Hamiltonian Lie algebroids over Poisson manifolds. It is shown that a compatible
Externí odkaz:
http://arxiv.org/abs/2411.10969
Autor:
Hirota, Yuji, Ikeda, Noriaki
In a Hamiltonian Lie algebroid over a pre-symplectic manifold and over a Poisson manifold, we introduce a map corresponding to a comomentum map, called a comomentum section. We show that the comomentum section gives a Lie algebroid morphism among Lie
Externí odkaz:
http://arxiv.org/abs/2405.03533
Autor:
Hirota, Yuji, Ikeda, Noriaki
We study multisymplectic structures taking values in vector bundles with connections from the viewpoint of the Hamiltonian symmetry. We introduce the notion of bundle-valued $n$-plectic structures and exhibit some properties of them. In addition, we
Externí odkaz:
http://arxiv.org/abs/2312.02499
Autor:
Hirota, Yuji, Ikeda, Noriaki
Publikováno v:
In Journal of Geometry and Physics September 2024 203
Autor:
Hirota, Yuji, Ikeda, Noriaki
We introduce a notion of a homotopy momentum section on a Lie algebroid over a pre-multisymplectic manifold. A homotopy momentum section is a generalization of the momentum map with a Lie group action and the momentum section on a pre-symplectic mani
Externí odkaz:
http://arxiv.org/abs/2110.12305
Autor:
Hirota, Yuji, Kori, Tosiaki
We shall give a twisted Dirac structure on the space of irreducible connections on a SU(n)-bundle over a three-manifold, and give a family of twisted Dirac structures on the space of irreducible connections on the trivial SU(n)-bundle over a four-man
Externí odkaz:
http://arxiv.org/abs/2106.10638
We discuss the relationship between (co)homology groups and categorical diagonalization. We consider the category of chain complexes in the category of finitely generated free modules on a commutative ring. For a fixed chain complex with zero maps as
Externí odkaz:
http://arxiv.org/abs/1909.02361
We propose a generalization of quantization as a categorical way. For a fixed Poisson algebra quantization categories are defined as subcategories of R-module category with the structure of classical limits. We construct the generalized quantization
Externí odkaz:
http://arxiv.org/abs/1907.08665
Autor:
Hirota, Yuji, Ikeda, Noriaki
Publikováno v:
In Journal of Geometry and Physics December 2022 182
Autor:
Hirota, Yuji
We inquire into the relation between the curl operators, the Poisson coboundary operators and contravariant derivatives on Poisson manifolds to study the theory of differential operators in Poisson geometry. Given an oriented Poisson manifold, we des
Externí odkaz:
http://arxiv.org/abs/1703.06287