382 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Kyoto UniversityJP369 papers
- The University of TokyoJP33 papers
- Korea Institute for Advanced StudyKR13 papers
- The University of OsakaJP12 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Nagoya UniversityJP10 papers
- Seoul National UniversityKR10 papers
- Yukawa Institute for Theoretical PhysicsJP10 papers
- Fujian Normal UniversityCN8 papers
- Kavli Institute for the Physics and Mathematics of the UniverseJP8 papers
- National Research University Higher School of EconomicsRU8 papers
- Hiroshima UniversityJP7 papers
18 papers · 1 filter
A lattice version of the Atiyah-Singer index theorem
Mayuko Yamashita
We formulate and prove a lattice version of the Atiyah-Singer index theorem. The main theorem gives a -theoretic formula for an index-type invariant of operators on lattice appr…
The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators
Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo +3
We introduce a mathematician-friendly formulation of the physicist-friendly derivation of the Atiyah-Patodi-Singer index of our previous paper. Our viewpoint sheds some new light o…
The Hitchin--Kobayashi Correspondence for Quiver Bundles over Generalized Kähler Manifolds
Zhi Hu, Pengfei Huang
In this paper, we establish the Hitchin--Kobayashi correspondence for the -holomorphic quiver bundle over a compact generalized Kähler manifold $(X, I_+,…
Triply Periodic Monopoles and Difference Modules on Elliptic Curves
Takuro Mochizuki
We explain the correspondences between twisted monopoles with Dirac type singularity and polystable twisted mini-holomorphic bundles with Dirac type singularity on a 3-dimensional…
Good Wild Harmonic Bundles and Good Filtered Higgs Bundles
Takuro Mochizuki
We prove the Kobayashi-Hitchin correspondence between good wild harmonic bundles and polystable good filtered -flat bundles satisfying a vanishing condition. We also study the c…
Ricci iteration for coupled Kähler-Einstein metrics
Ryosuke Takahashi
In this paper, we introduce the "coupled Ricci iteration", a dynamical system related to the Ricci operator and twisted Kähler-Einstein metrics as an approach to the study of coupl…
Convergence of mean curvature flow in hyperkähler manifolds
Keita Kunikawa, Ryosuke Takahashi
Inspired by the work of Leung-Wan, we study the mean curvature flow in hyperkähler manifolds starting from hyper-Lagrangian submanifolds, a class of middle dimensional submanifolds…
An -index formula of monopoles with Dirac-type singularities
Masaki Yoshino
We prove the Fredholmness of Dirac operators of monopoles with Dirac-type singularities on oriented complete Riemannian -folds, and we also calculate the -indices of them.
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…
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…
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…
Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
Takuro Mochizuki
Let be a stable Higgs bundle of degree on a compact connected Riemann surface. Once we fix the flat metric on the determinant of …
Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature
Takuro Mochizuki
We study the asymptotic behaviour of doubly periodic instantons with square-integrable curvature. Then, we establish the equivalence given by the Nahm transform between the doubly…
Wild Harmonic Bundles and Wild Pure Twistor D-modules
Takuro Mochizuki
We study (i) asymptotic behaviour of wild harmonic bundles, (ii) the relation between semisimple meromorphic flat connections and wild harmonic bundles, (iii) the relation between…
Visible actions on symmetric spaces
Toshiyuki Kobayashi
A visible action on a complex manifold is a holomorphic action that admits a -transversal totally real submanifold . It is said to be strongly visible if there exists an orbi…
On discontinuous group actions on non-Riemannian homogeneous spaces
Toshiyuki Kobayashi
This article gives an up-to-date account of the theory of discrete group actions on non-Riemannian homogeneous spaces. As an introduction of the motifs of this article, we begin by…
Deformation of Properly Discontinuous Actions of Z^k on R^{k+1}
Toshiyuki Kobayashi, Salma Nasrin
We consider the deformation of a discontinuous group acting on the Euclidean space by affine transformations. A distinguished feature here is that even a `small' deformation of a d…
Kobayashi-Hitchin correspondence for tame harmonic bundles II
Takuro Mochizuki
Let be a smooth projective complex variety with an ample line bundle , and let be a simple normal crossing divisor. We establish the Kobayashi-Hitchin correspondence bet…