Calabi-Yau Varieties: Arithmetic, Geometry and Physics

Table of Contents

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   Book Overview
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   Chapter 1 The Geometry and Moduli of K3 Surfaces
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   Chapter 2 Picard Ranks of K3 Surfaces of BHK Type
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   Chapter 3 Reflexive Polytopes and Lattice-Polarized K3 Surfaces
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   Chapter 4 An Introduction to Hodge Structures
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   Chapter 5 Introduction to Nonabelian Hodge Theory
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   Chapter 6 Algebraic and Arithmetic Properties of Period Maps
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   Chapter 7 Mirror Symmetry in Physics: The Basics
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   Chapter 8 Introduction to Gromov–Witten Theory
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    Chapter 9 Introduction to Donaldson–Thomas and Stable Pair Invariants
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    Chapter 10 Donaldson–Thomas Invariants and Wall-Crossing Formulas
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    Chapter 11 Enumerative Aspects of the Gross-Siebert Program
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    Chapter 12 Introduction to Modular Forms
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    Chapter 13 Lectures on BCOV Holomorphic Anomaly Equations
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    Chapter 14 Polynomial Structure of Topological String Partition Functions
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    Chapter 15 Introduction to Arithmetic Mirror Symmetry