Self-dual manifolds and mirror symmetry for the quintic threefold

Details Self-dual manifolds and mirror symmetry for the quintic threefold Self-dual manifolds and mirror symmetry for the quintic threefold

2003-01-02

arxiv.org/abs/math/0301014v2

Mathematics

Algebraic Geometry

21 pages, no figures; in v2 corrected typo in Definition 2.1

Scientific paper

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.

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