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
21 papers · 1 filter
Rationality of W-algebras: principal nilpotent cases
Tomoyuki Arakawa
We prove the rationality of all the minimal series principal W-algebras discovered by Frenkel, Kac and Wakimoto in 1992, thereby giving a new family of rational and C_2-cofinite ve…
Symplectic homology of disc cotangent bundles of domains in Euclidean space
Kei Irie
Let be a bounded domain with smooth boundary in , and denote its disc cotangent bundle. We compute symplectic homology of , in terms of relative homology of…
Microdifferential systems and the codimension-three conjecture
Masaki Kashiwara, Kari Vilonen
The codimension-three conjecture states that any regular holonomic module extends uniquely beyond an analytic subset with codimension equal to or larger than three. We give a proof…
Examples of factors which have no Cartan subalgebras
Yusuke Isono
We consider some conditions similar to Ozawa's condition (AO), and prove that if a non-injective factor satisfies such a condition and has the W*CBAP, then it has no Cartan subalge…
The law of the iterated logarithm in game-theoretic probability with quadratic and stronger hedges
Kenshi Miyabe, Akimichi Takemura
We prove both the validity and the sharpness of the law of the iterated logarithm in game-theoretic probability with quadratic and stronger hedges.
Simple normal crossing Fano varieties and log Fano manifolds
Kento Fujita
A projective log variety (X, D) is called "a log Fano manifold" if X is smooth and if D is a reduced simple normal crossing divisor on X with -(K_X+D) ample. The n-dimensional log…
Rationality of admissible affine vertex algebras in the category O
Tomoyuki Arakawa
We study the vertex algebras associated with modular invariant representations of affine Kac-Moody algebras at fractional levels, whose simple highest weight modules are classified…
Two-sided BGG resolutions of admissible representations
Tomoyuki Arakawa
We prove the conjecture of Frenkel, Kac and Wakimoto on the existence of two-sided BGG resolutions of G-integrable admissible representations of affine Kac-Moody algebras at fracti…
Boundary Harnack inequality for Markov processes with jumps
Krzysztof Bogdan, Takashi Kumagai, Mateusz Kwaśnicki
We prove a boundary Harnack inequality for jump-type Markov processes on metric measure state spaces, under comparability estimates of the jump kernel and Urysohn-type property of…
Quiver varieties and tensor products, II
Hiraku Nakajima
We define a family of homomorphisms on a collection of convolution algebras associated with quiver varieties, which gives a kind of coproduct on the Yangian associated with a symme…
Cover times for sequences of reversible Markov chains on random graphs
Yoshihiro Abe
We provide conditions that classify cover times for sequences of random walks on random graphs into two types: One type (Type 1) is the class of cover times that are of the order o…
Frobenius morphisms and derived categories on two dimensional toric Deligne-Mumford stacks
Ryo Ohkawa, Hokuto Uehara
For a toric Deligne-Mumford (DM) stack, we can consider a certain generalization of the Frobenius endomorphism. For such an endomorphism on a two-dimensional toric DM stack, we sho…
Notes on parameters of quiver Hecke algebras
Masaki Kashiwara
Varagnolo-Vasserot and Rouquier proved that, in a symmetric generalized Cartan matrix case, the simple modules over the quiver Hecke algebra with a special parameter correspond to…
Property A and the operator norm localization property for discrete metric spaces
Hiroki Sako
We study property A defined by G. Yu and the operator norm localization property defined by X. Chen, R. Tessera, X. Wang, and G. Yu. These are coarse geometric properties for metri…
Microlocal Euler classes and Hochschild homology
Masaki Kashiwara, Pierre Schapira
We define the notion of a trace kernel on a manifold M. Roughly speaking, it is a sheaf on M x M for which the formalism of Hochschild homology applies. We associate a microlocal E…
A quantitative version of the commutator theorem for zero trace matrices
William B. Johnson, Narutaka Ozawa, Gideon Schechtman
Let be a complex matrix with zero trace and let $\e>0$. Then there are matrices and such that and $\|B\|\|C\|\le K_\e m^\e\|A\|$ where…
Stability of tautological bundles on the Hilbert scheme of two points on a surface
Malte Wandel
Let (X,H) be a polarized smooth projective surface satisfying H^1(X,O_X)=0 and let F be either a rank one torsion-free sheaf or a rank two μH-stable vector bundle on X. Assume that…
Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials
Haruya Mizutani
The present paper is concerned with Schrödinger equations with variable coefficients and unbounded electromagnetic potentials, where the kinetic energy part is a long-range perturb…
Geometric realization of Khovanov-Lauda-Rouquier algebras associated with Borcherds-Cartan data
Seok-Jin Kang, Masaki Kashiwara, Euiyong Park
We construct a geometric realization of the Khovanov-Lauda-Rouquier algebra associated with a symmetric Borcherds-Cartan matrix via quiver varieties. As…
A plug with infinite order and some exotic 4-manifolds
Motoo Tange
Every exotic pair in 4-dimension is obtained each other by twisting a {\it cork} or {\it plug} which are codimension 0 submanifolds embedded in the 4-manifolds. The twist was an in…
Lawrence-Krammer-Bigelow representations and dual Garside length of braids
Tetsuya Ito, Bert Wiest
We show that the span of the variable in the Lawrence-Krammer-Bigelow representation matrix of a braid is equal to the twice of the dual Garside length of the braid, as was con…