In 1994,Vafa-Witten proposed the conjecture that the generating series of Euler numbers of moduli spaces of stable sheaves on algebraic surfaces are related
We show how solutions of the topological string on elliptically fibred Calabi-Yau three-and four-folds give rise to various modular forms in the fibre modul
I will describe the construction of a "global mirror curve" of a toric Calabi-Yau 3-fold.It is a family of spectral curves over the secondary toric variety
We prove that the factorization of Appells generalized hypergeometric series satisfying the socalled quadric property into a product of two Gauss hypergeome
This talk explains the relation between a class of SL(2,C)flat connections on a 3-manifold and the constant curvature simplicial geometries in 4-dimensions.
We state some mathematical predictions concerning the kernels of Dirac-type operators on moduli spaces of(singular)monopoles in R3.These pre-dictions follow
I will describe the construction of a category based on a Legendrian knot in the co-circle bundle of a surface.It is equivalent to the Fukaya category of th
I will discuss a notion of stability on chiral ring of four dimensional N=1 theory.This notion is important in finding the chiral ring of superconformal fie