4 papers
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…