Surveys in Differential Geometry

Volume 5 (1999)

Differential geometry inspired by string theory

Editors: Yau

Contents

Introduction

Contents

K3 surfaces and string duality

Paul S. Aspinwall

pp. 1-95

Symplectic geometry and the Verlinde Formulas

Jean-Michel Bismut and François Labourie

pp. 97-311

Counting curves on irrational surfaces

Jim Bryan and Naichung Conan Leung

pp. 313-339

Special Langrangian Fibrations II: Geometry. A survey of techniques in the study of special Langrangian fibrations

Mark Gross

pp. 341-403

Mirror Principle I

Bong H. Lian, Kefeng Liu, and S. T. Yau

pp. 405-454

Mirror Principle II

Bong H. Lian, Kefeng Liu, and S. T. Yau

pp. 455-509

Differential equations from mirror symmetry

Bong H. Lian and S. T. Yau

pp. 510-526

Heat kernels, symplectic geometry, moduli spaces, and finite groups

Kefeng Liu

pp. 527-542

A brief tour of GW invariants

Jun Li and Gang Tian

pp. 543-569