output
19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2013Show all

20 papers · 1 filter

math.PR2013★ 16 cited

Geodesic distances and intrinsic distances on some fractal sets

Masanori Hino

Given strong local Dirichlet forms and -valued functions on a metrizable space, we introduce the concepts of geodesic distance and intrinsic distance on the basis of…

math.GT2013★ 1 cited

An invariant of rational homology 3-spheres via vector fields

Tatsuro Shimizu

We define an invariant of rational homology 3-spheres via vector fields. The construction of our invariant is a generalization of both that of the Kontsevich-Kuperberg-Thurston inv…

cs.DS2013★ 1 cited

Parameterized Approximation Schemes using Graph Widths

Michael Lampis

Combining the techniques of approximation algorithms and parameterized complexity has long been considered a promising research area, but relatively few results are currently known…

math.AG2013★ 25 cited

Riemann-Hilbert correspondence for holonomic D-modules

Andrea D'Agnolo, Masaki Kashiwara

The classical Riemann-Hilbert correspondence establishes an equivalence between the triangulated category of regular holonomic D-modules and that of constructible sheaves. In this…

math.PR2013★ 2 cited

Harnack Inequalities for SDEs with Multiplicative Noise and Non-regular Drift

Huaiqian Li, Dejun Luo, Jian Wang

The log-Harnack inequality and Harnack inequality with powers for semigroups associated to SDEs with non-degenerate diffusion coefficient and non-regular time-dependent drift coeff…

math.GT2013★ 15 cited

Operations on open book foliations

Tetsuya Ito, Keiko Kawamuro

We study b-arc foliation change and exchange move of open book foliations which generalize the corresponding operations in braid foliation theory. We also define a bypass move as a…

math.GT2013

Bing doubling and the colored Jones polynomial

Sakie Suzuki

Bing doubling is an operation which gives a satellite of a knot. It is also applied to a link by specifying a component of the link. We give a formula to compute the reduced colore…

math.PR2013★ 22 cited

Quenched invariance principles for random walks and elliptic diffusions in random media with boundary

Zhen-Qing Chen, David A. Croydon, Takashi Kumagai

Via a Dirichlet form extension theorem and making full use of two-sided heat kernel estimates, we establish quenched invariance principles for random walks in random environments w…

math.AG2013★ 5 cited

Stokes Matrices for the Quantum Cohomologies of Orbifold Projective Lines

Kohei Iwaki, Atsushi Takahashi

We prove the Dubrovin's conjecture for the Stokes matrices for the quantum cohomology of orbifold projective lines. The conjecture states that the Stokes matrix of the first struct…

quant-ph2013

Derivation of Born Rule from Algebraic and Statistical Axioms

Izumi Ojima, Kazuya Okamura, Hayato Saigo

In the present paper we propose a new axiomatic system of algebraic and statistical axioms as working hypotheses, from which Born rule can be seen to emerge. In this process the co…

math.RT2013★ 53 cited

Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras

Seok-Jin Kang, Masaki Kashiwara, Myungho Kim

Let be a set of pairs consisting of good modules over an affine quantum algebra and invertible elements. The distribution of poles of the normalized R-matrices yields Khovanov-…

math.DG2013★ 13 cited

Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature

Takuro Mochizuki

We study the asymptotic behaviour of doubly periodic instantons with square-integrable curvature. Then, we establish the equivalence given by the Nahm transform between the doubly…

math.QA2013★ 12 cited

Bethe subalgebras in Hecke algebra and Gaudin models

A. P. Isaev, Anatol N. Kirillov

The generating function for elements of the Bethe subalgebra of Hecke algebra is constructed as Sklyanin's transfer-matrix operator for Hecke chain. We show that in a special class…

math.AG2013★ 5 cited

Some remarks on the semi-positivity theorems

Osamu Fujino, Taro Fujisawa, Morihiko Saito

We show that the dualizing sheaves of reduced simple normal crossings pairs have a canonical weight filtration in a compatible way with the one on the corresponding mixed Hodge mod…

cs.CC2013★ 13 cited

Model Checking Lower Bounds for Simple Graphs

Michael Lampis

A well-known result by Frick and Grohe shows that deciding FO logic on trees involves a parameter dependence that is a tower of exponentials. Though this lower bound is tight for C…

math.AG2013

A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes

A. Buryak, B. L. Feigin, H. Nakajima

In a recent paper the first two authors proved that the generating series of the Poincare polynomials of the quasihomogeneous Hilbert schemes of points in the plane has a simple de…

math.GT2013★ 2 cited

On surface links whose link groups are abelian

Tetsuya Ito, Inasa Nakamura

We study surface links whose link groups are free abelian, and construct various stimulating and highly non-trivial examples of such surface links.

math.CV2013★ 12 cited

Complex manifolds with maximal torus actions

Hiroaki Ishida

In this paper, we introduce the notion of maximal actions of compact tori on smooth manifolds and study compact connected complex manifolds equipped with maximal actions of compact…

math.GT2013★ 4 cited

On Kirby calculus for null-homotopic framed links in 3-manifolds

Kazuo Habiro, Tamara Widmer

Kirby proved that two framed links in S^3 give orientation-preserving homeomorphic results of surgery if and only if these two links are related by a sequence of two kinds of moves…

cs.GT2013

On Randomized Fictitious Play for Approximating Saddle Points Over Convex Sets

Khaled Elbassioni, Kazuhisa Makino, Kurt Mehlhorn +1

Given two bounded convex sets $X\subseteq\RR^m$ and $Y\subseteq\RR^n,$ specified by membership oracles, and a continuous convex-concave function $F:X\times Y\to\RR$, we consider th…