3 papers
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…
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…
math.DG2024
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…