120 citations · 669 across the 39 of their papers we have counts for
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Specialized Simpson's main estimates for cyclic harmonic -bundles
Takuro Mochizuki
We study a generalization of specialized Simpson's main estimate in the context of cyclic harmonic -bundles induced by split automorphisms. We apply it to the classification of…
Comparison of the Hitchin metric and the semi-flat metric in the rank two case
Takuro Mochizuki
Let be a Higgs bundle of rank and degree on a compact Riemann surface whose spectral curve is smooth. The tangent space of the moduli space of Higgs bundles at…
Higgs bundles in the Hitchin section over non-compact hyperbolic surfaces
Qiongling Li, Takuro Mochizuki
Let be an arbitrary non-compact hyperbolic Riemann surface, that is, not or . Given a tuple of holomorphic differentials $\boldsymbol q=(q_2,\cdots,q_n…
Asymptotic behaviour of the Hitchin metric on the moduli space of Higgs bundles
Takuro Mochizuki
The moduli space of stable Higgs bundles of degree is equipped with the hyperkähler metric, called the Hitchin metric. On the locus where the spectral curves are smooth, there…
Asymptotic behaviour of large-scale solutions of Hitchin's equations in higher rank
Takuro Mochizuki, Szilárd Szabó
Let be a compact Riemann surface. Let be a stable Higgs bundle of degree on . Let denote a flat metric of the determinant bundle . For any…
Harmonic metrics of generically regular semisimple Higgs bundles on non-compact Riemann surfaces
Qiongling Li, Takuro Mochizuki
We prove that a generically regular semisimple Higgs bundle equipped with a non-degenerate symmetric pairing on any Riemann surface always has a harmonic metric compatible with the…