This thorough and detailed exposition is the result of an intensive month-long course on
mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry …

The book starts with a thorough introduction to connections and holonomy groups, and to
Riemannian, complex and Kähler geometry. Then the Calabi conjecture is proved and used …

We investigate the correspondence between existence/stability of BPS states in type-II string
theory compactified on a Calabi-Yau manifold and BPS solutions of four-dimensional N= 2 …

This 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 …

Two pictures of BPS bound states in Calabi-Yau compactifications of type-II string theory
exist, one as a set of particles at equilibrium separations from each other, the other as a …

This graduate level text covers an exciting and active area of research at the crossroads of
several different fields in Mathematics and Physics. In Mathematics it involves Differential …

We analyze the dynamics of M-theory on a manifold of G_2 holonomy that is developing a
conical singularity. The known cases involve a cone on CP^ 3, where we argue that the …

We consider a class of special Lagrangian subspaces of Calabi-Yau manifolds and identify
their mirrors, using the recent derivation of mirror symmetry, as certain holomorphic varieties …

We show that boundary conditions in topological open string theory on Calabi–Yau CY
manifolds are objects in the derived category of coherent sheaves, as foreseen in the …

We compute the Yukawa couplings among chiral fields in toroidal Type II compactifications
with wrapping D6-branes intersecting at angles. Those models can yield realistic standard …