Self-dual manifolds and mirror symmetry for the quintic threefold
Abstract
Description
For all $m > 0$ we build a two-dimensional family of smooth manifolds of real dimension $3m + 2$ and use it to interpolate between the anticanonical family in the complex projective space of dimension $m + 1$ and its mirror dual. The main tool is the notion of self-dual manifold.
21 pages, no figures; in v2 corrected typo in Definition 2.1
21 pages, no figures; in v2 corrected typo in Definition 2.1