120 citations · 669 across the 39 of their papers we have counts for
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math.DG2017★ 6 cited
Periodic monopoles and difference modules
Takuro Mochizuki
We study periodic monopoles satisfying some mild conditions, called of GCK type. Particularly, we give a classification of periodic monopoles of GCK type in terms of difference mod…
math.DG2017★ 3 cited
Kobayashi-Hitchin correspondence for analytically stable bundles
Takuro Mochizuki
We prove the existence of a Hermitian-Einstein metric on holomorphic vector bundles with a Hermitian metric satisfying the analytic stability condition, under some assumption for t…
math.DG2017★ 8 cited
Some characterizations of Dirac type singularity of monopoles
Takuro Mochizuki, Masaki Yoshino
We study singular monopoles on open subsets in the -dimensional Euclidean space. We give two characterizations of Dirac type singularities. One is given in terms of the growth o…