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math.DG2026
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…
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…