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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…
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…
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…