7 citations · 11 across the 10 of their papers we have counts for
10 papers
Homotopy momentum sections on multisymplectic manifolds
Yuji Hirota, Noriaki Ikeda
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 wit…
Dirac structures on the space of connections
Yuji Hirota, Tosiaki Kori
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…
Homology Groups and Categorical Diagonalization
Jumpei Gohara, Yuji Hirota, Keisui Ino +1
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 modu…
Categorical Perspective on Quantization of Poisson Algebra
Jumpei Gohara, Yuji Hirota, Akifumi Sako
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 str…
Differential operators and contravariant derivatives in Poisson geometry
Yuji Hirota
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 ope…
Formal Deformation Quantization for Super Poisson Structures on Super Calabi-Yau Twistor Spaces
Tadashi Taniguchi, Naoya Miyazaki, Yuji Hirota
It is known that Wolf constructed a lot of examples of Super Calabi-Yau twistor spaces. We would like to introduce super Poisson structures on them via super twistor double fibrati…
Geometric quantization of Dirac manifolds
Yuji Hirota
We define prequantization for Dirac manifolds to generalize known procedures for Poisson and (pre) symplectic manifolds by using characteristic distributions obtained from 2-cocycl…
Equivalence of the categories of modules over Lie algebroids
Yuji Hirota
We study geometric representation theory of Lie algebroids. A new equivalence relation for integrable Lie algebroids is introduced and investigated. It is shown that two equivalent…
On correlations and mutual entropy in quantum composed systems
Yuji Hirota, Dariusz Chruściński, Takashi Matsuoka +1
We study the correlations of classical and quantum systems from the information theoretical points of view. We analyze a simple measure of correlations based on entropy (such measu…
Notes on Geometric Morita equivalence of twisted Poisson manifolds
Yuji Hirota
This paper is devoted to the study of Morita equivalence for twisted Poisson manifolds. We review some Morita invariants and prove that integrable twisted Poisson manifolds which a…