Table of Contents

Preface
1: Background material
2: Introduction to connections, curvature and holonomy groups
3: Riemannian holonomy groups
4: Calibrated geometry
5: Kähler manifolds
6: The Calabi Conjecture
7: Calabi-Yau manifolds
8: Special Lagrangian geometry
9: Mirror Symmetry and the SYZ Conjecture
10: Hyperkähler and quaternionic Kähler manifolds
11: The exceptional holonomy groups
12: Associative, coassociative and Cayley submanifolds
References
Index

About the Author

Dominic Joyce came up to Oxford University in 1986 to read Mathematics. He held an EPSRC Advanced Research Fellowship from 2001-2006, was recently promoted to professor, and now leads a research group in Homological Mirror Symmetry. His main research areas so far have been compact manifolds with the exceptional holonomy groups G 2 and Spin(7), and special Lagrangian submanifolds, a kind of calibrated submanifold. He is married, with two daughters.