Orbifold quantum cohomology of weighted projective spaces

2006/10/31 by Mann, Etienne · 1 citation
#14N35 #32S20 #32S30 #53D45 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.math/0610965

Abstract

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.

Cited by

• Mixed Hodge structures for vanishing cycles and orbifold cohomology

Related

• Cohomologie quantique orbifolde des espaces projectifs a poids
• Orbifold quantum D-modules associated to weighted projective spaces
• Orbifold Quantum Cohomology
• The small quantum cohomology of a weighted projective space, a mirror D-module and their classical limits
• Gromov-Witten theory of orbicurves, the space of tri-polynomials and Symplectic Field Theory of Seifert fibrations