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
33 papers · 1 filter
Mixed trTLEP-structures and mixed Frobenius structures
Yota Shamoto
We introduce the notion of mixed trTLEP-structures and prove that a mixed trTLEP-structure with some conditions naturally induces a mixed Frobenius manifold. This is a generalizati…
Semi-galois Categories I: The Classical Eilenberg Variety Theory
Takeo Uramoto
This paper is an extended version of our proceedings paper announced at LICS'16; in order to complement it, this version is written from a different viewpoint including topos-theor…
A refined version of Grothendieck's birational anabelian conjecture for curves over finite fields
Mohamed Saidi, Akio Tamagawa
In this paper we prove a refined version of Uchida's theorem on isomorphisms between absolute Galois groups of global fields in positive characteristics, where one "ignores" the in…
On the arithmetic of abelian varieties
Mohamed Saidi, Akio Tamagawa
We prove some new results on the arithmetic of abelian varieties over function fields of one variable over finitely generated (infinite) fields. Among other things, we introduce ce…
Cosets of Bershadsky-Polyakov algebras and rational -algebras of type
Tomoyuki Arakawa, Thomas Creutzig, Andrew R. Linshaw
The Bershadsky-Polyakov algebra is the -algebra associated to with its minimal nilpotent element . For notational convenience we defi…
Crystalline comparison isomorphisms in -adic Hodge theory: the absolutely unramified case
Fucheng Tan, Jilong Tong
We construct the crystalline comparison isomorphisms for proper smooth formal schemes over an absolutely unramified base. Such isomorphisms hold for étale cohomology with nontrivia…
Bethe subalgebras in affine Birman--Murakami--Wenzl algebras and flat connections for q-KZ equations
A. P. Isaev, A. N. Kirillov, V. O. Tarasov
Commutative sets of Jucys-Murphyelements for affine braid groups of types were defined. Construction of -matrix representations of the affine b…
Questions on provisional Coulomb branches of -dimensional gauge theories
Hiraku Nakajima
This is a supplement to [arXiv:1503.03676], where an approach towards a mathematically rigorous definition of the Coulomb branch of a -dimensional SUSY gauge theo…
Enhanced perversities
Andrea D'Agnolo, Masaki Kashiwara
The Riemann-Hilbert correspondence embeds the triangulated category of (not necessarily regular) holonomic D-modules into that of -constructible enhanced ind-sheaves. Th…
Bethe's Quantum Numbers And Rigged Configurations
Anatol N. Kirillov, Reiho Sakamoto
We propose a method to determine the quantum numbers, which we call the rigged configurations, for the solutions to the Bethe ansatz equations for the spin-1/2 isotropic Heisenberg…
Singular vectors of super Virasoro algebra via Uglov symmetric functions
Shintarou Yanagida
We give a proof of the conjecture by Belavin, Bershtein and Tarnopolsky, which claims that a bosonization of singular vectors of super Virasoro algebra can be identified with…
On K-stability and the volume functions of -Fano varieties
Kento Fujita
We introduce a new effective stability named "divisorial stability" for Fano manifolds which is weaker than K-stability and is stronger than slope stability along divisors. We show…
Dense existence of periodic Reeb orbits and ECH spectral invariants
Kei Irie
In this paper, we prove (1): for any closed contact three-manifold with a -generic contact form, the union of periodic Reeb orbits is dense, (2): for any closed surface w…
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 …
A representation of antimatroids by Horn rules and its application to educational systems
Hiyori Yoshikawa, Hiroshi Hirai, Kazuhisa Makino
We study a representation of an antimatroid by Horn rules, motivated by its recent application to computer-aided educational systems. We associate any set of Horn rul…
A Pseudo-Polynomial Algorithm for Mean Payoff Stochastic Games with Perfect Information and Few Random Positions
Endre Boros, Khaled Elbassioni, Vladimir Gurvich +1
We consider two-person zero-sum stochastic mean payoff games with perfect information, or BWR-games, given by a digraph , with local rewards $r: E \to \ZZ$, and three t…
Riordan trees and the homotopy weight system
Jean-Baptiste Meilhan, Sakie Suzuki
The purpose of this paper is twofold. On one hand, we introduce a modification of the dual canonical basis for invariant tensors of the 3-dimensional irreducible representation of…
On regularity for de Rham's functional equations
Kazuki Okamura
We consider regularity for solutions of a class of de Rham's functional equations. Under some smoothness conditions of functions consisting the equation, we improve some results in…
Spectral invariants of distance functions
Suguru Ishikawa
Calculating the spectral invariant of Floer homology of the distance function, we can find some kind of superheavy subsets in symplectic manifolds. We show if convex open subsets i…
Count Matroids of Group-Labeled Graphs
Rintaro Ikeshita, Shin-ichi Tanigawa
A graph is called -sparse if for any nonempty , where denotes the set of vertices incident to . It is known that…
Cyclicity for categorified quantum groups
Anna Beliakova, Kazuo Habiro, Aaron D. Lauda +1
We equip the categorified quantum group attached to a KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that f=f^** for all 2-morph…
Affine Yangian action on the Fock space
Ryosuke Kodera
The localized equivariant homology of the quiver variety of type can be identified with the level one Fock space by assigning a normalized torus fixed point basis t…
Joseph ideals and lisse minimal W-algebras
Tomoyuki Arakawa, Anne Moreau
We consider a lifting of Joseph ideals for the minimal nilpotent orbit closure to the setting of affine Kac-Moody algebras and find new examples of affine vertex algebras whose ass…
A homological representation formula of colored Alexander invariants
Tetsuya Ito
We give a formula of the colored Alexander invariant in terms of the homological representation of the braid groups which we call truncated Lawrence's representation. This formula…