## Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory. Proofs or sketches are given for many important results. From the reviews: "An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book." --MATHEMATICAL REVIEWS |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

Calabi-Yau Manifolds and Related Geometries Mark Gross,Daniel Huybrechts,Dominic Joyce No preview available - 2002 |

### Common terms and phrases

AC SL m-folds Betti numbers birational map Calabi Conjecture Calabi-Yau 3-folds Calabi-Yau manifolds calibrated submanifolds coassociative codimension cohomology class compact hyperkahler manifold compact Kahler manifold complex manifold connected construct Corollary curvature Def(X define Definition deformation diffeomorphism differential elliptic equation examples exists finite function geometry given Hence Hodge structure Hol(g holomorphic symplectic manifold holonomy groups hyperkahler metric hypersurface induced integral irreducible holomorphic symplectic isomorphism K3 surface Kahler class Kahler cone Kahler form Kahler manifold Kahler metric Lagrangian submanifolds Lie algebra line bundle linear m-folds in Cm metric g mirror symmetry moduli space monodromy morphism Mukai flop nonsingular open subset period map proof Proposition prove quintic rational curves result Riemannian manifold simply-connected singular point smooth Sp(m special Lagrangian m-folds special Lagrangian submanifolds SU(m subgroup surjective tangent space tensor theory topological Torelli theorem torus trivial two-form unique vector bundle vector fields vector space weight filtration zero