ORBIFOLD QUANTUM COHOMOLOGY OF WEIGHTED PROJECTIVE SPACES

By Étienne Mann. 2006

59 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/88a561799fbb0dabcae00bb809d91a9079d88e8e

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In Discrete Mathematics and Combinatorics

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Citations in the corpus

• Logarithmic Frobenius manifolds, hypergeometric systems and quantum D-modules (2010, background): “his solution will not behave well in families. For some special kind of Fano varieties like the projective spaces (see [Bar00]) or, more generally, for some orbifolds like weighted projective spaces ([Man08], [DM09]), it is possible to find explicit solutions to the Birkhoff problem and to carry out t”