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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…
math.AG2026
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…