Recently it has been shown that there are paths on the moduli space between two Calabi-
Yau manifolds with different topology that have finite length. A priori, there exists the …

We present an accessible account of the local geometry of the parameter space of Calabi-
Yau manifolds. It is shown that the parameter space decomposes, at least locally, into a …

For a very large number of Calabi-Yau manifolds of many different numerical invariants and
hence distinct homotopy types, the relevant moduli spaces can be assembled into a …

The complete list of compact complex Ricci-flat Kähler manifolds embedded in P2× P3 as
complete intersections is presented. Starting from one of these new Calabi-Yau spaces an …

We analyze the moduli spaces of Calabi-Yau three-folds and their associated conformally
invariant nonlinear σ-models and show that they are described by an unexpectedly rich …

Abstract We consider Calabi-Yau compactifications with one Kähler modulus. Following the
method of Candelas et al. we use the mirror hypotheses to solve the quantum theory exactly …

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 …

The Z ̃ manifold is a Calabi-Yau manifold with b 21= 0. At first sight it seems to provide a
counter-example to the mirror hypothesis since its mirror would have b 11= 0 and hence …

Abstract The Weil-Petersson metric is defined on the moduli space of Calabi-Yau manifolds.
The curvature of this Weil-Petersson metrics is computed and its potential is explicitely …

We describe a duality in the moduli space of string vacua which pairs topologically distinct
Calabi-Yau manifolds and shows that the yield isomorphic conformal theories. At the level of …