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
17 papers · 1 filter
Affine Geometric Crystals and Limit of Perfect Crystals
Masaki Kashiwara, Toshiki Nakashima, Masato Okado
For every non-exceptional affine Lie algebra, we explicitly construct a positive geometric crystal associated with a fundamental representation. We also show that its ultra-discret…
Higher Nash blowups
Takehiko Yasuda
For each non-negative integer , we define the -th Nash blowup of an algebraic variety, and call them all higher Nash blowups. When , it coincides with the classical Nash…
Inversion of adjunction on log canonicity
Masayuki Kawakita
We prove inversion of adjunction on log canonicity.
Vanishing of 3-Loop Jacobi Diagrams of Odd Degree
Daniel Moskovich, Tomotada Ohtsuki
We prove the vanishing of the space of 3-loop Jacobi diagrams of odd degree. This implies that no 3-loop finite-type invariant can distinguish between a knot and its inverse.
Proof of the modular branching rule for cyclotomic Hecke algebras
Susumu Ariki
We prove the modular branching rule of the cyclotomic Hecke algebras, which has remained open.
Matrix Factorizations and Representations of Quivers II: type ADE case
Hiroshige Kajiura, Kyoji Saito, Atsushi Takahashi
We study a triangulated category of graded matrix factorizations for a polynomial of type ADE. We show that it is equivalent to the derived category of finitely generated modules o…
A trace theorem for Dirichlet forms on fractals
Masanori Hino, Takashi Kumagai
We consider a trace theorem for self-similar Dirichlet forms on self-similar sets to self-similar subsets. In particular, we characterize the trace of the domains of Dirichlet form…
Brunnian links, claspers and Goussarov-Vassiliev finite type invariants
Kazuo Habiro
We prove that if n\ge1, then an (n+1)-component Brunnian link L in a connected, oriented 3-manifold is C_n-equivalent to an unlink. We also prove that if n\ge2, then L can not be d…
Finite type invariants and Milnor invariants for Brunnian links
Kazuo Habiro, Jean-Baptiste Meilhan
A link L in the 3-sphere is called Brunnian if every proper sublink of L is trivial. In a previous paper, the first author proved that the restriction to Brunnian links of any Gous…
Refined Kirby calculus for integral homology spheres
Kazuo Habiro
A theorem of Kirby states that two framed links in the 3-sphere produce orientation-preserving homeomorphic results of surgery if they are related by a sequence of stabilization an…
Level 1 Perfect Crystals and Path Realizations of Basic Representations at q=0
Georgia Benkart, Igor Frenkel, Seok-Jin Kang +1
We present a uniform construction of level 1 perfect crystals for all affine Lie algebras. We also introduce the notion of a crystal algebra and give an explicit descr…
Surgery untying of coloured knots
Daniel Moskovich
For p=3 and for p=5 we prove that there are exactly p equivalence classes of p-coloured knots modulo (+/-1)--framed surgeries along unknots in the kernel of a p-colouring. These eq…
Homology 3-spheres in codimension three
Masamichi Takase
For smooth embeddings of an integral homology 3-sphere in the 6-sphere, we define an integer invariant in terms of their Seifert surfaces. Our invariant gives a bijection between t…
New scaling of Itzykson-Zuber integrals
Benoit Collins, Piotr Sniady
We study asymptotics of the Itzykson-Zuber integrals in the scaling when one of the matrices has a small rank compared to the full rank. We show that the result is basically the sa…
Bottom tangles and universal invariants
Kazuo Habiro
A bottom tangle is a tangle in a cube consisting only of arc components, each of which has the two endpoints on the bottom line of the cube, placed next to each other. We introduce…
Question on the Existence of Gravitational Anomalies
Mitsuo Abe, Noboru Nakanishi
The existence of gravitational anomalies claimed by Alvarez-Gaume and Witten is examined critically. It is pointed out that they were unaware of the essential difference between T-…
Cohomological study on variants of the Mumford system, and integrability of the Noumi-Yamada system
Rei Inoue, Takao Yamazaki
The purpose of this paper is twofold. The first is to apply the method introduced in the works of Nakayashiki and Smirnov on the Mumford system to its variants. The other is to est…