120 citations · 669 across the 39 of their papers we have counts for
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Asymptotic behaviour of tame nilpotent harmonic bundles with trivial parabolic structure
Takuro Mochizuki
Let be a holomorphic vector bundle. Let be a Higgs field, that is a holomorphic section of satisfying . Let be a pluriharmonic metric of…
The geometry of the parabolic Hilbert schemes
Takuro Mochizuki
We discuss the parabolic Hilbert scheme of points on smooth surface, which is an interesting generalization of Hilbert scheme of points on surface. Some of the studies by Ellingsru…
The 3-cocycles of the Alexander quandles F_q[T]/(T-omega)
Takuro Mochizuki
We determine the third cohomology of Alexander quandles of the form F_q[T]/(T-omega), where F_q denotes the finite field of order q and omega is an element of F-q which is neither…
A theory of the invariants obtained from the moduli stacks of stable objects on a smooth polarized surface
Takuro Mochizuki
Let be a smooth polarized algebraic surface over the compex number field. We discuss the invariants obtained from the moduli stacks of semistable sheaves of arbitrary ranks on…