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19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2006Show all

9 papers · 1 filter

math.AG2006★ 13 cited

Local mirror symmetry of curves: Yukawa couplings and genus 1

Brian Forbes, Masao Jinzenji

We continue our study of equivariant local mirror symmetry of curves, i.e. mirror symmetry for X_k=O(k)+O(-2-k) over P^1 with torus action (lambda_1,lambda_2) on the bundle. For th…

cs.PL2006★ 15 cited

Relational Parametricity and Control

Masahito Hasegawa

We study the equational theory of Parigot's second-order λμ-calculus in connection with a call-by-name continuation-passing style (CPS) translation into a fragment of the…

math.RT2006★ 22 cited

A generalized Cartan decomposition for the double coset space U(n_1) x U(n_2) x U(n_3)) U(n) / U(p) x U(q)

Toshiyuki Kobayashi

Motivated by recent developments on visible actions on complex manifolds, we raise a question whether or not the multiplication of three subgroups , and surjects a Lie…

math.DG2006★ 38 cited

Visible actions on symmetric spaces

Toshiyuki Kobayashi

A visible action on a complex manifold is a holomorphic action that admits a -transversal totally real submanifold . It is said to be strongly visible if there exists an orbi…

math.DG2006★ 10 cited

On discontinuous group actions on non-Riemannian homogeneous spaces

Toshiyuki Kobayashi

This article gives an up-to-date account of the theory of discrete group actions on non-Riemannian homogeneous spaces. As an introduction of the motifs of this article, we begin by…

math.DG2006★ 31 cited

Deformation of Properly Discontinuous Actions of Z^k on R^{k+1}

Toshiyuki Kobayashi, Salma Nasrin

We consider the deformation of a discontinuous group acting on the Euclidean space by affine transformations. A distinguished feature here is that even a `small' deformation of a d…

math.DG2006★ 82 cited

Kobayashi-Hitchin correspondence for tame harmonic bundles II

Takuro Mochizuki

Let be a smooth projective complex variety with an ample line bundle , and let be a simple normal crossing divisor. We establish the Kobayashi-Hitchin correspondence bet…

math.AG2006★ 29 cited

Equivariant K-theory of affine flag manifolds and affine Grothendieck polynomials

Masaki Kashiwara, Mark Shimozono

We study the equivariant K-group of the affine flag manifold with respect to the Borel group action. We prove that the structure sheaf of the (infinite-dimensional) Schubert variet…

math.RT2006★ 43 cited

An exotic Deligne-Langlands correspondence for symplectic groups

Syu Kato

Let G be a complex symplectic group. We introduce a G x (C ^x) ^{l + 1}-variety N_{l}, which we call the l-exotic nilpotent cone. Then, we realize the Hecke algebra H of type C_n ^…