String Duality and the Integrality Structure in Calabi-Yau Geometry

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Proceedings of The 4th International Congress of Chinese Mathematicians Vol. IV 作者：季理真刘克峰杨乐丘成桐　　 ISBN：978-7-04-031486-1　出版时间：2010-12-10

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Volume IV

Part I The Work of the Morningside Medalists

The Work of Xu-Jia Wang

The Work of Jianqing Fan

The Work of Jianqing Fan

The Work of Shi Jin

The Work of Chiun-Chuan Chen

The Work of Ye Tian

The Work of Lizhen Ji

Part II

Theory and Implementation of E cient Importance Sampling for Monte Carlo Computation of Probabilities of Rare Events

Fast Algorithms for Total Variation-Based Image Processing

Sharp Isoperimetric Inequality for Minimal Surfaces in R3

Positive Quaternionic Kahler Manifolds with Symmetry

Linear Waves in the Kerr Geometry: Long-Time Dynamics, Superradiance, and the Stability of Black Holes

Loop Space and Holomorphic Disc: Summary

Reservoir Description by Using a Piecewise Constant Level Set Method

Center of Expansion and Isoperimetric Di erence for Expanding Convex Closed Plane Curves

Predictive Modeling Approaches for Studying Protein-DNA Binding

Intersections of Bruhat Cells and Steinberg Fibers

Loops in the Hamiltonian Group

String Duality and the Integrality Structure in Calabi-Yau Geometry

Positively Curved Manifolds with Abelian Symmetry

Moduli Spaces of Torsion Free Sheaves on Nodal Curves and Generalisations - II

Harmonic Maps in Real and Complex Finsler Geometry

Evolvabilty

Some Aspects of Fractal in China

Rigorous Derivation of the Gross-Pitaevskii Equation

On the Global Existence and Uniqueness of Solutions to Prandtl’s System

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Front Matter
- Pan Peng
- 1 Introduction
- 2 Gopakumar-Vafa conjecture
- 3 Labastida-Mari~no-Ooguri-Vafa conjecture
- 4 Concluding remarks
- References

String Duality and the Integrality Structure in Calabi-Yau Geometry

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