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19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2011Show all

29 papers · 1 filter

math.AG2011★ 15 cited

Testing log K-stability by blowing up formalism

Yuji Odaka, Song Sun

We study logarithmic K-stability for pairs by extending the formula for Donaldson-Futaki invariants to log setting. We also provide algebro-geometric counterparts of recent results…

math.GT2011★ 23 cited

Open Book Foliations

Tetsuya Ito, Keiko Kawamuro

We study open book foliations on surfaces in 3-manifolds, and give applications to contact geometry of dimension 3. We prove a braid-theoretic formula of the self-linking number of…

math.RA2011★ 2 cited

Is an irng singly generated as an ideal?

Nicolas Monod, Narutaka Ozawa, Andreas Thom

Recall that a rng is a ring which is possibly non-unital. In this note, we address the problem whether every finitely generated idempotent rng (abbreviated as irng) is singly gener…

math.GT2011★ 3 cited

On the colored Jones polynomials of ribbon links, boundary links and Brunnian links

Sakie Suzuki

Habiro gave principal ideals of Z[q,q^{-1}] in which certain linear combinations of the colored Jones polynomials of algebraically-split links take values. The author proved that t…

math.GT2011★ 2 cited

On the universal sl_2 invariant of Brunnian bottom tangles

Sakie Suzuki

A link L is called Brunnian if every proper sublink of L is trivial. Similarly, a bottom tangle T is called Brunnian if every proper subtangle of T is trivial. In this paper, we gi…

math-ph2011★ 16 cited

Towards a state minimizing the output entropy of a tensor product of random quantum channels

Benoit Collins, Motohisa Fukuda, Ion Nechita

We consider the image of some classes of bipartite quantum states under a tensor product of random quantum channels. Depending on natural assumptions that we make on the states, th…

math.RT2011★ 5 cited

Biadjointness in cyclic Khovanov-Lauda-Rouquier Algebras

Masaki Kashiwara

We prove that the simple root functors E and F appearing in the categorification of irreducible highest weight modules of quantum groups via cyclotomic Khovanov-Lauda-Rouquier alge…

math.MG2011★ 1 cited

Periodic body-and-bar frameworks

Ciprian S. Borcea, Ileana Streinu, Shin-ichi Tanigawa

Abstractions of crystalline materials known as periodic body-and-bar frameworks are made of rigid bodies connected by fixed-length bars and subject to the action of a group of tran…

math.AP2011★ 4 cited

Strichartz estimates for Schrödinger equations with variable coefficients and potentials at most linear at spatial infinity

Haruya Mizutani

In the present paper we consider Schrödinger equations with variable coefficients and potentials, where the principal part is a long-range perturbation of the flat Laplacian and po…

math.CO2011★ 1 cited

Rooted-tree Decompositions with Matroid Constraints and the Infinitesimal Rigidity of Frameworks with Boundaries

Naoki Katoh, Shin-ichi Tanigawa

As an extension of a classical tree-partition problem, we consider decompositions of graphs into edge-disjoint (rooted-)trees with an additional matroid constraint. Specifically, s…

math.MG2011★ 1 cited

Metric spaces with subexponential asymptotic dimension growth

Narutaka Ozawa

We prove that a metric space with subexponential asymptotic dimension growth has Yu's property A.

math.GT2011★ 5 cited

Homology cylinders of higher-order

Takahiro Kitayama

We study algebraic structures of certain submonoids of the monoid of homology cylinders over a surface and the homology cobordism groups, using Reidemeister torsion with non-commut…

math.AG2011★ 4 cited

Log-canonical models of singular pairs and its applications

Yuji Odaka, Chenyang Xu

We prove the existence of log canonical modifications for a log pair. As an application, together with Kollär's gluing theory, we remove the assumption in the first named author's…

math.AG2011★ 39 cited

Fourier-Mukai transforms and the wall-crossing behavior for Bridgeland's stability conditions

Hiroki Minamide, Shintarou Yanagida, Kota Yoshioka

Bridgeland stability condition is preserved under the Fourier-Mukai transform by its definition. We explain the relation with Gieseker stability. By studying the wall-crossing beha…

math.SG2011★ 2 cited

Displacement energy of unit disk cotangent bundles

Kei Irie

We give an upper bound of a Hamiltonian displacement energy of a unit disk cotangent bundle in a cotangent bundle , when the base manifold is an open Riemannian ma…

math.GT2011★ 19 cited

Non-left-orderable double branched coverings

Tetsuya Ito

We develop a method to show the fundamental group of the double branched covering of a link is not left-orderable by introducing the notion of the coarse presentation. As in the us…

cs.LO2011★ 6 cited

Ludics with repetitions (Exponentials, Interactive types and Completeness)

Claudia Faggian, Michele Basaldella

Ludics is peculiar in the panorama of game semantics: we first have the definition of interaction-composition and then we have semantical types, as a set of strategies which "behav…

math.SG2011★ 1 cited

Lagrangian Floer theory over integers: spherically positive symplectic manifolds

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1

In this paper we study the Lagrangian Floer theory over or . Under an appropriate assumption on ambient symplectic manifold, we show that the whole story of Lagrangian F…

math.SG2011★ 14 cited

Spectral invariants with bulk, quasimorphisms and Lagrangian Floer theory

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1

In this paper we first develop various enhancements of the theory of spectral invariants of Hamiltonian Floer homology and of Entovi-Polterovich theory of spectral symplectic quasi…

physics.bio-ph2011★ 3 cited

A low-Reynolds-number treadmilling swimmer near a semi-infinite wall

Kiori Obuse, Jean-Luc Thiffeault

We investigate the behavior of a treadmilling microswimmer in a two-dimensional unbounded domain with a semi-infinite no-slip wall. The wall can also be regarded as a probe or pipe…

math-ph2011★ 2 cited

Geometry and Combinatorics of Crystal Melting

Masahito Yamazaki

We survey geometrical and especially combinatorial aspects of generalized Donaldson-Thomas invariants (also called BPS invariants) for toric Calabi-Yau manifolds, emphasizing the r…

math.GT2011★ 5 cited

On the universal sl_2 invariant of boundary bottom tangles

Sakie Suzuki

The universal sl_2 invariant of bottom tangles has a universality property for the colored Jones polynomial of links. Habiro conjectured that the universal sl_2 invariant of bounda…

math.AG2011★ 32 cited

Simply connected surfaces of general type in positive characteristic via deformation theory

Yongnam Lee, Noboru Nakayama

Algebraically simply connected surfaces of general type with p_g=q=0 and 1\le K^2\le 4 in positive characteristic (with one exception in K^2=4) are presented by using a Q-Gorenstei…

math.NT2011

On the higher Fitting ideals of Iwasawa modules of ideal class groups over real abelian fields

Tatsuya Ohshita

Kurihara established a refinement of the minus-part of the Iwasawa main conjecture for totally real number fields using the higher Fitting ideals. In this paper, by using Kurihara'…