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math.DG2026
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…
math.DG2026
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…
math.DG2025
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…