1 citations · 1 across the 6 of their papers we have counts for
8 papers
Manton's Vortex Equations and Anti-Self-Dual Connections
Takashi Ono
We study four of Manton's five vortex equations on a Riemann surface in relation to anti-self-dual connections. From a solution of each vortex equation, we construct an equivar…
Manton's Exotic Vortex Equation
Takashi Ono
In this paper, we study the equation which we call Manton's exotic vortex equation. The equation arose in Manton's study of a deformation of the classical vortex equation [Ma]. We…
Notes on acceptable bundles II
Osamu Fujino, Taro Fujisawa, Takashi Ono
The notion of acceptable bundles plays a fundamental role in the Simpson--Mochizuki theory. We study acceptable bundles on a partially punctured polydisk in detail. While this arti…
Dimensional reduction of stable Higgs bundle and the Doubly-Coupled Vortex Equations
Takashi Ono
Let be a compact Riemann surface and be the complex projective line. In this paper, we introduce an equation which we call the doubly-coupled vortex equation on…
Moduli Spaces of the Basic Hitchin Equation on Sasakian Threefolds
Takashi Ono
In this paper, we study an equation which we call the basic Hitchin equation. This is an equation defined on Sasakian threefolds and is a three-dimensional analog of the Hitchin eq…
Harmonic Bundles with Symplectic Structures
Takashi Ono
We study harmonic bundles with an additional structure called symplectic structure. We study them for the case of the base manifold is compact and non-compact. For the compact case…
Structure of the Kuranishi Spaces of pairs of Kähler manifolds and Polystable Higgs bundles
Takashi Ono
Let be a compact Kähler manifold and be a Higgs bundle over it. We study the structure of the Kuranishi space for the pair when the Higgs…
Deformations of holomorphic-Higgs pairs
Takashi Ono
We study the deformation of the holomorphic-Higgs pair. The holomorphic-Higgs pair is a pair of a complex manifold and a Higgs bundle over it. We introduce the differential graded…