Research Institute for Mathematical Sciences, Kyoto University

output

19912020

most citedTopological Lattice Models in Four Dimensions

382 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2020Show all

17 papers · 1 filter

math.PR2020

On large deviation rate functions for a continuous-time directed polymer in weak disorder

Ryoki Fukushima, Stefan Junk

We show that the endpoint large deviation rate function for a continuous-time directed polymer agrees with the rate function of the underlying random walk near the origin in the wh…

math.RT2020

Kazhdan-Lusztig conjecture via Zastava spaces

Alexander Braverman, Michael Finkelberg, Hiraku Nakajima

We deduce the Kazhdan-Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category O from the equivariant geometric Sat…

math.DG2020★ 4 cited

A lattice version of the Atiyah-Singer index theorem

Mayuko Yamashita

We formulate and prove a lattice version of the Atiyah-Singer index theorem. The main theorem gives a $K$ -theoretic formula for an index-type invariant of operators on lattice appr…

math.PR2020★ 6 cited

$L^{p}$ -Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces

Takahiro Mori

In this paper, we discuss relationships between the continuous embeddings of Dirichlet spaces $(F, E_{1})$ into Lebesgue spaces and the integrability of the assoc…

math.AP2020★ 8 cited

Global wellposedness for the energy-critical Zakharov system below the ground state

Timothy Candy, Sebastian Herr, Kenji Nakanishi

The Cauchy problem for the Zakharov system in the energy-critical dimension $d = 4$ is considered. We prove that global well-posedness holds in the full (non-radial) energy space for…

math.AT2020★ 1 cited

A cubical model for $(\infty, n)$ -categories

Tim Campion, Chris Kapulkin, Yuki Maehara

We propose a new model for the theory of $(\infty, n)$ -categories (including the case $n = \infty$ ) in the category of marked cubical sets with connections, similar in flavor to compl…

math.CT2020★ 2 cited

Completeness and injectivity

Soichiro Fujii

We show that for any quantale $Q$ , a $Q$ -category is skeletal and complete if and only if it is injective with respect to fully faithful $Q$ -functors.…

math.PR2020★ 5 cited

Quenched Invariance Principle for a class of random conductance models with long-range jumps

Marek Biskup, Xin Chen, Takashi Kumagai +1

We study random walks on $Z^{d}$ (with $d \geq 2$ ) among stationary ergodic random conductances ${C_{x, y} : x, y \in Z^{d}}$ that permit jumps of arbitrary length. Our…

math.PR2020★ 12 cited

Scaling limits of the three-dimensional uniform spanning tree and associated random walk

Omer Angel, David A. Croydon, Sarai Hernandez-Torres +1

We show that the law of the three-dimensional uniform spanning tree (UST) is tight under rescaling in a space whose elements are measured, rooted real trees, continuously embedded…

math-ph2020★ 19 cited

Generalized hydrodynamic limit for the box-ball system

David A. Croydon, Makiko Sasada

We deduce a generalized hydrodynamic limit for the box-ball system, which explains how the densities of solitons of different sizes evolve asymptotically under Euler space-time sca…

math.AG2020★ 5 cited

On a topological counterpart of regularization for holonomic D-modules

Andrea D'Agnolo, Masaki Kashiwara

On a complex manifold, the embedding of the category of regular holonomic D-modules into that of holonomic D-modules has a left quasi-inverse functor $\mathcal{M}\mapsto\mathcal{M}…

math.OA2020★ 5 cited

Connes' bicentralizer problem for q-deformed Araki-Woods algebras

Cyril Houdayer, Yusuke Isono

Let $(H_{R}, U_{t})$ be any strongly continuous orthogonal representation of $R$ on a real (separable) Hilbert space $H_{R}$ . For any $q \in (- 1, 1)$ , we den…

math.AG2020★ 1 cited

Enhanced nearby and vanishing cycles in dimension one and Fourier transform

Andrea D'Agnolo, Masaki Kashiwara

Enhanced ind-sheaves provide a suitable framework for the irregular Riemann-Hilbert correspondence. In this paper, we give some precisions on nearby and vanishing cycles for enhanc…

math.RT2020★ 22 cited

Affine Super Yangians and Rectangular $W$ -superalgebras

Mamoru Ueda

In this paper, we construct a homomorphism from the affine super Yangian $Y_{\ve_1,\ve_2}(\widehat{\mathfrak{sl}}(m|n))$ to the universal enveloping algebra of the rectangular $W$ -…

math.AG2020★ 3 cited

Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras

Hiraku Nakajima

We prove the conjecture by Gyenge, Némethi and Szendrői in arXiv:1512.06844, arXiv:1512.06848 giving a formula of the generating function of Euler numbers of Hilbert schemes of poi…

math.AP2020★ 21 cited

Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities

Noriyoshi Fukaya, Masayuki Hayashi

We consider a nonlinear Schrödinger equation with double power nonlinearity \begin{align*} i\partial_t u+Δu-|u|^{p-1}u+|u|^{q-1}u=0,\quad (t,x)\in\mathbb{R}\times\mathbb{R}^N, \end…