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
A Nested Family of -total Effective Rewards for Positional Games
Endre Boros, Khaled Elbassioni, Vladimir Gurvich +1
We consider Gillette's two-person zero-sum stochastic games with perfect information. For each $k \in \ZZ_+$ we introduce an effective reward function, called -total. For $k = 0…
Current algebras and categorified quantum groups
Anna Beliakova, Kazuo Habiro, Aaron D. Lauda +1
We identify the trace, or 0th Hochschild homology, of type ADE categorified quantum groups with the corresponding current algebra of the same type. To prove this, we show that 2-re…
Simple strategies versus optimal schedules in multi-agent patrolling
Akitoshi Kawamura, Makoto Soejima
Suppose that a set of mobile agents, each with a predefined maximum speed, want to patrol a fence together so as to minimize the longest time interval during which a point on the f…
Group C*-algebras as decreasing intersection of nuclear C*-algebras
Yuhei Suzuki
We prove that for every exact discrete group , there is an intermediate C*-algebra between the reduced group C*-algebra and the intersection of the group von Neumann algebra and…
C*-simplicity and the unique trace property for discrete groups
Emmanuel Breuillard, Mehrdad Kalantar, Matthew Kennedy +1
A discrete group is said to be C*-simple if its reduced C*-algebra is simple, and is said to have the unique trace property if its reduced C*-algebra has a unique tracial state. A…
Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree
M. T. Barlow, D. A. Croydon, T. Kumagai
The first main result of this paper is that the law of the (rescaled) two-dimensional uniform spanning tree is tight in a space whose elements are measured, rooted real trees conti…
Actions of the n-strand braid groups on the free group of rank n which are similar to the Artin representation
Tetsuya Ito
We classify an action of the -strand braid group on the free group of rank which is similar to the Artin representation in the sense that the -th generator of $B_…
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras III
Seok-Jin Kang, Masaki Kashiwara, Myungho Kim +1
Let $\CC^0_{\g}$ be the category of finite-dimensional integrable modules over the quantum affine algebra $U_{q}'(\g)$ and let $R^{A_\infty}\gmod$ denote the category of finite-dim…
Real positivity and approximate identities in Banach algebras
David P. Blecher, Narutaka Ozawa
Blecher and Read have recently introduced and studied a new notion of positivity in operator algebras, with an eye to extending certain -algebraic results and theories to more…
The universal sl_2 invariant and Milnor invariants
Jean-Baptiste Meilhan, Sakie Suzuki
The universal sl_2 invariant of string links has a universality property for the colored Jones polynomial of links, and takes values in the h-adic completed tensor powers of the qu…
Trace decategorification of categorified quantum sl(2)
Anna Beliakova, Kazuo Habiro, Aaron D. Lauda +1
The trace or the th Hochschild--Mitchell homology of a linear category may be regarded as a kind of decategorification of . We compute traces of the t…
Simplicity of heads and socles of tensor products
Seok-Jin Kang, Masaki Kashiwara, Myungho Kim +1
We prove that, for simple modules and over a quantum affine algebra, their tensor product has a simple head and a simple socle if is simple. A s…
Kirby calculus for null-homologous framed links in 3-manifolds
Kazuo Habiro, Tamara Widmer
A theorem of Kirby gives a necessary and sufficient condition for two framed links in S^3 to yield orientation-preserving diffeomorphic results of surgery. Kirby's theorem is an im…
Sufficient Conditions for the Global Rigidity of Graphs
Shin-ichi Tanigawa
We investigate how to find generic and globally rigid realizations of graphs in based on elementary geometric observations. Our arguments lead to new proofs of a com…
Explicit generators in rectangular affine W-algebras of type A
Tomoyuki Arakawa, Alexander Molev
We produce in an explicit form free generators of the affine W-algebra of type A associated with a nilpotent matrix whose Jordan blocks are of the same size. This includes the prin…
Whittaker vector of deformed Virasoro algebra and Macdonald symmetric functions
Shintarou Yanagida
We give a proof of Awata and Yamada's conjecture for the explicit formula of Whittaker vector of the deformed Virasoro algebra realized in the Fock space. The formula is expressed…
A kernel of a braid group representation yields a knot with trivial knot polynomials
Tetsuya Ito
We show that a non-trivial, non-central normal subgroup of the braid groups contains a braid whose closure is a hyperbolic knot with arbitrary large genus. This shows that non-fait…
Linking Rigid Bodies Symmetrically
Bernd Schulze, Shin-ichi Tanigawa
The mathematical theory of rigidity of body-bar and body-hinge frameworks provides a useful tool for analyzing the rigidity and flexibility of many articulated structures appearing…
Classification of log del Pezzo surfaces of index three
Kento Fujita, Kazunori Yasutake
A normal projective non-Gorenstein log-terminal surface is called a log del Pezzo surface of index three if the three-times of the anti-canonical divisor is an ample Ca…
Exact WKB analysis and cluster algebras
Kohei Iwaki, Tomoki Nakanishi
We develop the mutation theory in the exact WKB analysis using the framework of cluster algebras. Under a continuous deformation of the potential of the Schrödinger equation on a c…
Overtwisted discs in planar open books
Tetsuya Ito, Keiko Kawamuro
Using open book foliations we show that an overtwisted disc in a planar open book can be put in a topologically nice position. As a corollary, we prove that a planar open book whos…