Orbifold quantum cohomology of weighted projective spaces

Mathematics – Algebraic Geometry

Scientific paper

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27 pages, revised and short version of my PhD thesis : math.AG/0510331. Accepted for publication in Journal of Algebraic Geome

Scientific paper

This article is a revised, short and english version of my PhD thesis. First, we show a mirror theorem : the Frobenius manifold associated to the orbifold quantum cohomology of weighted projective space is isomorphic to the one attached to a specific Laurent polynomial. Secondly, we show a reconstruction theorem, that is, we can reconstruct in an algorithmic way the full genus 0 Gromov-Witten potential from the 3-point invariants.

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