Quantum cohomology of [C^N/\mu_r]
Algebraic Geometry
2012-04-06 v2
Abstract
We give a construction of the moduli space of stable maps to the classifying stack B\mu_r of a cyclic group by a sequence of r-th root constructions on M_{0, n}. We prove a closed formula for the total Chern class of \mu_r-eigenspaces of the Hodge bundle, and thus of the obstruction bundle of the genus zero Gromov-Witten theory of stacks of the form [C^N/\mu_r]. We deduce linear recursions for all genus-zero Gromov-Witten invariants.
Keywords
Cite
@article{arxiv.0705.2160,
title = {Quantum cohomology of [C^N/\mu_r]},
author = {Arend Bayer and Charles Cadman},
journal= {arXiv preprint arXiv:0705.2160},
year = {2012}
}
Comments
33 pages, 1 figure; v2: expository changes, references updated