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most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2015Show all

33 papers · 1 filter

math.AG2015★ 1 cited

Mixed trTLEP-structures and mixed Frobenius structures

Yota Shamoto

We introduce the notion of mixed trTLEP-structures and prove that a mixed trTLEP-structure with some conditions naturally induces a mixed Frobenius manifold. This is a generalizati…

math.CT2015

Semi-galois Categories I: The Classical Eilenberg Variety Theory

Takeo Uramoto

This paper is an extended version of our proceedings paper announced at LICS'16; in order to complement it, this version is written from a different viewpoint including topos-theor…

math.NT2015

A refined version of Grothendieck's birational anabelian conjecture for curves over finite fields

Mohamed Saidi, Akio Tamagawa

In this paper we prove a refined version of Uchida's theorem on isomorphisms between absolute Galois groups of global fields in positive characteristics, where one "ignores" the in…

math.NT2015★ 4 cited

On the arithmetic of abelian varieties

Mohamed Saidi, Akio Tamagawa

We prove some new results on the arithmetic of abelian varieties over function fields of one variable over finitely generated (infinite) fields. Among other things, we introduce ce…

math.RT2015★ 21 cited

Cosets of Bershadsky-Polyakov algebras and rational -algebras of type

Tomoyuki Arakawa, Thomas Creutzig, Andrew R. Linshaw

The Bershadsky-Polyakov algebra is the -algebra associated to with its minimal nilpotent element . For notational convenience we defi…

math.AG2015★ 1 cited

Crystalline comparison isomorphisms in -adic Hodge theory: the absolutely unramified case

Fucheng Tan, Jilong Tong

We construct the crystalline comparison isomorphisms for proper smooth formal schemes over an absolutely unramified base. Such isomorphisms hold for étale cohomology with nontrivia…

math.RT2015★ 3 cited

Bethe subalgebras in affine Birman--Murakami--Wenzl algebras and flat connections for q-KZ equations

A. P. Isaev, A. N. Kirillov, V. O. Tarasov

Commutative sets of Jucys-Murphyelements for affine braid groups of types were defined. Construction of -matrix representations of the affine b…

math-ph2015★ 11 cited

Questions on provisional Coulomb branches of -dimensional gauge theories

Hiraku Nakajima

This is a supplement to [arXiv:1503.03676], where an approach towards a mathematically rigorous definition of the Coulomb branch of a -dimensional SUSY gauge theo…

math.AG2015★ 14 cited

Enhanced perversities

Andrea D'Agnolo, Masaki Kashiwara

The Riemann-Hilbert correspondence embeds the triangulated category of (not necessarily regular) holonomic D-modules into that of -constructible enhanced ind-sheaves. Th…

math-ph2015★ 1 cited

Bethe's Quantum Numbers And Rigged Configurations

Anatol N. Kirillov, Reiho Sakamoto

We propose a method to determine the quantum numbers, which we call the rigged configurations, for the solutions to the Bethe ansatz equations for the spin-1/2 isotropic Heisenberg…

math.QA2015★ 7 cited

Singular vectors of super Virasoro algebra via Uglov symmetric functions

Shintarou Yanagida

We give a proof of the conjecture by Belavin, Bershtein and Tarnopolsky, which claims that a bosonization of singular vectors of super Virasoro algebra can be identified with…

math.AG2015★ 33 cited

On K-stability and the volume functions of -Fano varieties

Kento Fujita

We introduce a new effective stability named "divisorial stability" for Fano manifolds which is weaker than K-stability and is stronger than slope stability along divisors. We show…

math.SG2015

Dense existence of periodic Reeb orbits and ECH spectral invariants

Kei Irie

In this paper, we prove (1): for any closed contact three-manifold with a -generic contact form, the union of periodic Reeb orbits is dense, (2): for any closed surface w…

math.DG2015★ 48 cited

Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces

Takuro Mochizuki

Let be a stable Higgs bundle of degree on a compact connected Riemann surface. Once we fix the flat metric on the determinant of …

math.CO2015★ 7 cited

A representation of antimatroids by Horn rules and its application to educational systems

Hiyori Yoshikawa, Hiroshi Hirai, Kazuhisa Makino

We study a representation of an antimatroid by Horn rules, motivated by its recent application to computer-aided educational systems. We associate any set of Horn rul…

cs.GT2015★ 1 cited

A Pseudo-Polynomial Algorithm for Mean Payoff Stochastic Games with Perfect Information and Few Random Positions

Endre Boros, Khaled Elbassioni, Vladimir Gurvich +1

We consider two-person zero-sum stochastic mean payoff games with perfect information, or BWR-games, given by a digraph , with local rewards $r: E \to \ZZ$, and three t…

math.QA2015

Riordan trees and the homotopy weight system

Jean-Baptiste Meilhan, Sakie Suzuki

The purpose of this paper is twofold. On one hand, we introduce a modification of the dual canonical basis for invariant tensors of the 3-dimensional irreducible representation of…

math.CA2015★ 4 cited

On regularity for de Rham's functional equations

Kazuki Okamura

We consider regularity for solutions of a class of de Rham's functional equations. Under some smoothness conditions of functions consisting the equation, we improve some results in…

math.SG2015

Spectral invariants of distance functions

Suguru Ishikawa

Calculating the spectral invariant of Floer homology of the distance function, we can find some kind of superheavy subsets in symplectic manifolds. We show if convex open subsets i…

math.CO2015★ 1 cited

Count Matroids of Group-Labeled Graphs

Rintaro Ikeshita, Shin-ichi Tanigawa

A graph is called -sparse if for any nonempty , where denotes the set of vertices incident to . It is known that…

math.QA2015★ 15 cited

Cyclicity for categorified quantum groups

Anna Beliakova, Kazuo Habiro, Aaron D. Lauda +1

We equip the categorified quantum group attached to a KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that f=f^** for all 2-morph…

math.RT2015★ 8 cited

Affine Yangian action on the Fock space

Ryosuke Kodera

The localized equivariant homology of the quiver variety of type can be identified with the level one Fock space by assigning a normalized torus fixed point basis t…

math.RT2015★ 68 cited

Joseph ideals and lisse minimal W-algebras

Tomoyuki Arakawa, Anne Moreau

We consider a lifting of Joseph ideals for the minimal nilpotent orbit closure to the setting of affine Kac-Moody algebras and find new examples of affine vertex algebras whose ass…

math.GT2015★ 11 cited

A homological representation formula of colored Alexander invariants

Tetsuya Ito

We give a formula of the colored Alexander invariant in terms of the homological representation of the braid groups which we call truncated Lawrence's representation. This formula…