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
26 papers · 1 filter
Representation theory of W-algebras and Higgs branch conjecture
Tomoyuki Arakawa
We survey a number of results regarding the representation theory of -algebras and their connection with the resent development of the four dimensional superconformal fiel…
Associated varieties and Higgs branches (a survey)
Tomoyuki Arakawa
Associated varieties of vertex algebras are analogue of the associated varieties of primitive ideals of the universal enveloping algebras of semisimple Lie algebras. They not only…
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…
has property
Marek Kaluba, Piotr W. Nowak, Narutaka Ozawa
We give a constructive, computer-assisted proof that , the automorphism group of the free group on generators, has Kazhdan's property .
Cutoff for lamplighter chains on fractals
Amir Dembo, Takashi Kumagai, Chikara Nakamura
We show that the total-variation mixing time of the lamplighter random walk on fractal graphs exhibit sharp cutoff when the underlying graph is transient (namely of spectral dimens…
Nonstandard methods in large-scale topology
Takuma Imamura
We develop some nonstandard techniques for bornological and coarse spaces. We first generalise the notion of bornology to prebornology, which better fits to coarse spaces. We then…
Eigenvalue fluctuations for lattice Anderson Hamiltonians: Unbounded potentials
Marek Biskup, Ryoki Fukushima, Wolfgang Koenig
We consider random Schrödinger operators with Dirichlet boundary conditions outside lattice approximations of a smooth Euclidean domain and study the behavior of its lowest-lying e…
Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types
Ryo Fujita
For a Dynkin quiver (of type ADE), we consider a central completion of the convolution algebra of the equivariant K-group of a certain Steinberg type graded quiver variety. We…
The -cohomology in the semistable case
Kestutis Cesnavicius, Teruhisa Koshikawa
For a proper, smooth scheme over a -adic field , we show that any proper, flat, semistable -model of whose logarithmic de Rham cohomology…
On properties of optimal paths in first passage percolation
Shuta Nakajima
In this paper, we study some properties of optimal paths in the first passage percolation on and show the followings: (1) the number of optimal paths has an exponential grow…
A microlocal approach to the enhanced Fourier-Sato transform in dimension one
Andrea D'Agnolo, Masaki Kashiwara
Let be a holonomic algebraic -module on the affine line. Its exponential factors are Puiseux germs describing the growth of holomorphic solutions to $\ma…
Jump processes on the boundaries of random trees
Yuki Tokushige
Kigami showed that a transient random walk on a deterministic infinite tree induces its trace process on the Martin boundary of . In this paper, we will deal with trace proc…
Monoidal categories associated with strata of flag manifolds
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
We construct a monoidal category which categorifies the doubly-invariant algebra associated with Weyl group elements and .…
Ill-Posedness of the Third Order NLS Equation with Raman Scattering Term
Nobu Kishimoto, Yoshio Tsutsumi
We consider the ill-posedness and well-posedness of the Cauchy problem for the third order NLS equation with Raman scattering term on the one dimensional torus. It is regarded as a…
Improved Average Complexity for Comparison-Based Sorting
Kazuo Iwama, Junichi Teruyama
This paper studies the average complexity on the number of comparisons for sorting algorithms. Its information-theoretic lower bound is . For many ef…
Nonabelian Landau-Ginzburg orbifolds and Calabi-Yau/Landau-Ginzburg correspondence
Daichi Mukai
In this paper, we study the bigraded vector space structure of Landau-Ginzburg orbifolds. We prove the formula for the generating function of the Hodge numbers of possibly nonabeli…
Periodic orbits in virtually contact structures
Youngjin Bae, Kevin Wiegand, Kai Zehmisch
We prove that certain non-exact magnetic Hamiltonian systems on products of closed hyperbolic surfaces and with a potential function of large oscillation admit non-constant contrac…
Splitting formulas for the rational lift of the Kontsevich integral
Delphine Moussard
Kricker defined an invariant of knots in homology 3-spheres which is a rational lift of the Kontsevich integral, and proved with Garoufalidis that this invariant satisfies splittin…
Persistent homology and microlocal sheaf theory
Masaki Kashiwara, Pierre Schapira
We interpret some results of persistent homology and barcodes (in any dimension) with the language of microlocal sheaf theory. For that purpose we study the derived category of she…
Perfect Elimination Orderings for Symmetric Matrices
Monique Laurent, Shin-ichi Tanigawa
We introduce a new class of structured symmetric matrices by extending the notion of perfect elimination ordering from graphs to weighted graphs or matrices. This offers a common f…
Elliptic Harnack inequalities for symmetric non-local Dirichlet forms
Zhen-Qing Chen, Takashi Kumagai, Jian Wang
We study relations and characterizations of various elliptic Harnack inequalities for symmetric non-local Dirichlet forms on metric measure spaces. We allow the scaling function be…
Fundamental Vortices, Wall-Crossing, and Particle-Vortex Duality
Chiung Hwang, Piljin Yi, Yutaka Yoshida
We explore 1d vortex dynamics of 3d supersymmetric Yang-Mills theories, as inferred from factorization of exact partition functions. Under Seiberg-like dualities, the 3d partition…
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…