120 citations · 669 across the 39 of their papers we have counts for
40 papers
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…
Algebraic integrable connections with bounded irregularity
Takuro Mochizuki
We study the boundedness of families of algebraic flat connections with bounded irregularity. As an application, we study the boundedness of families of holonomic -modules with…
A generalization of Barannikov-Kontsevich theorem
Takuro Mochizuki
We study the twisted de Rham complex associated with a holomorphic function on a Kähler manifold whose critical point set is compact. We prove the -degeneration of the Hodge-t…
Semi-flat metrics of the moduli spaces of Higgs bundles in the non-zero degree case
Takuro Mochizuki
We study horizontal deformations of a Higgs bundle whose spectral curve is smooth. It allows us to define a natural integrable connection of the Hitchin fibration on the locus wher…
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…