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19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2009Show all

13 papers · 1 filter

math.SG2009★ 21 cited

Anti-symplectic involution and Floer cohomology

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

The main purpose of the present paper is a study of orientations of the moduli spaces of pseudo-holomorphic discs with boundary lying on a \emph{real} Lagrangian submanifold, i.e.,…

math.AG2009★ 5 cited

Homological mirror symmetry of Fermat polynomials

So Okada

We discuss homological mirror symmetry of Fermat polynomials in terms of derived Morita equivalence between derived categories of coherent sheaves and Fukaya-Seidel categories (a.k…

hep-th2009★ 1 cited

Twisted Elliptic Genera of N=2 SCFTs in Two Dimensions

Toshiya Kawai

The elliptic genera of two-dimensional N=2 superconformal field theories can be twisted by the action of the integral Heisenberg group if their U(1) charges are fractional. The bas…

hep-th2009

Abelian Vortices on Nodal and Cuspidal Curves

Toshiya Kawai

We compute the Euler characteristics of the moduli spaces of abelian vortices on curves with nodal and cuspidal singularities. This generalizes our previous work where only nodes w…

math.RT2009★ 8 cited

The linkage principle for restricted critical level representations of affine Kac-Moody algebras

Tomoyuki Arakawa, Peter Fiebig

We study the restricted category O for an affine Kac--Moody algebra at the critical level. In particular, we prove the first part of the Feigin-Frenkel conjecture: the linkage prin…

math.AG2009★ 1 cited

Polarized endomorphisms of complex normal varieties

Noboru Nakayama, De-Qi Zhang

It is shown that a complex normal projective variety has non-positive Kodaira dimension if it admits a non-isomorphic quasi-polarized endomorphism. The geometric structure of the v…

math.GT2009★ 11 cited

On the universal sl_2 invariant of ribbon bottom tangles

Sakie Suzuki

A bottom tangle is a tangle in a cube consisting of arc components whose boundary points are on a line in the bottom square of the cube. A ribbon bottom tangle is a bottom tangle w…

math.CO2009★ 7 cited

The competition numbers of regular polyhedra

Yoshio Sano

The notion of a competition graph was introduced by J. E. Cohen in 1968. The competition graph C(D) of a digraph D is a (simple undirected) graph which has the same vertex set as D…

math.GT2009★ 13 cited

Surface links which are coverings over the standard torus

Inasa Nakamura

We introduce a new construction of a surface link in the 4-space. We construct a surface link as a branched covering over the standard torus, which we call a torus-covering link. W…

math.QA2009★ 149 cited

Quiver varieties and cluster algebras

Hiraku Nakajima

Motivated by a recent conjecture by Hernandez and Leclerc [arXiv:0903.1452], we embed a Fomin-Zelevinsky cluster algebra [arXiv:math/0104151] into the Grothendieck ring R of the ca…

math.NT2009★ 3 cited

Filtered modules corresponding to potentially semi-stable representations

Naoki Imai

We classify the filtered modules with coefficients corresponding to two-dimensional potentially semi-stable -adic representations of the absolute Galois groups of -adic field…

math.AG2009★ 26 cited

Building blocks of etale endomorphisms of complex projective manifolds

Noboru Nakayama, De-Qi Zhang

Etale endomorphisms of complex projective manifolds are constructed from two building blocks up to isomorphism if the good minimal model conjecture is true. They are the endomorphi…

math.RT2009★ 2 cited

Tempered modules in exotic Deligne-Langlands correspondence

Dan Ciubotaru, Syu Kato

The main purpose of this paper is to identify the tempered modules for the affine Hecke algebra of type with arbitrary, non-root of unity, unequal parameters, in the ex…