4 citations · 8 across the 9 of their papers we have counts for
10 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…
Current algebras on S^3 of complex Lie algebras
Tosiaki Kori
This is a full revised version of the previous same titled article. The 2-cocycle of the central extension of the current algebra on the three sphere is taken the place of a new qu…
sl(n,H)-Current Algebra on S^3
Tosiaki Kori
We introduce three non-trivial 2-cocycles , k=0,1,2, on the Lie algebra with the aid of the corresponding basis vector fields on , and extend them to 2-…
Electric-Magnetic Aspects On Yang-Mills Fields
Tosiaki Kori
Let A be the space of irreducible connections (vector potentials) over a SU(n)-principal bundle on a three-dimensional manifold M. Let T be the fiber product of the tangent and cot…
Pre-symplectic structures on the space of connections
Tosiaki Kori
Let X be a four-manifold with boundary three manifold M. We shall describe (i) a pre-symplectic structure on the space of connections of the trivial SU(n)-bundle over X that comes…
Extensions of Current Groups on S^3 and the Adjoint Representations
Tosiaki Kori
Let Omega^3(SU(n)) be the Lie group of based mappings from S^3 to SU(n). We construct a Lie group extension of Omega^3(SU(n)) for n>2 by the abelian group of the affine dual space…
Quaternifiations and extensions of current algebras on S^3
Tosiaki Kori, Yuto Imai
Let be the quaternion algebra. Let be a complex Lie algebra and let be the enveloping algebra of . We define a Lie algebra structure on the tensor product space o…
Chern-Simons pre-quantization over four-manifolds
Tosiaki Kori
We introduce a pre-symplectic structure on the space of connections in a G-principal bundle over a four-manifold and a Hamiltonian action on it of the group of gauge transformation…
Prequantization of the moduli space of flat connections over a four-manifold
Tosiaki Kori
We introduce a symplectic structure on the space of connections in a G-principal bundle over a four-manifold and the Hamiltonian action on it of the group of gauge transformations…
Four-dimensional Wess-Zumino-Witten actions
Tosiaki Kori
We shall give an axiomatic construction of Wess-Zumino-Witten actions valued in (G=SU(N)), (N\geq 3). It is realized as a functor ({WZ}) from the category of conformally flat four-…