A reconstruction theorem for genus zero Gromov-Witten invariants of stacks
Algebraic Geometry
2008-12-24 v2
Abstract
We generalize the First Reconstruction Theorem of Kontsevich and Manin in two respects. First, we allow the target space to be a Deligne-Mumford stack. Second, under some convergence assumptions, we show it suffices to check the hypothesis of -generation not on the cohomology ring, but on an any quantum ring in the family given by small quantum cohomology.
Keywords
Cite
@article{arxiv.math/0605776,
title = {A reconstruction theorem for genus zero Gromov-Witten invariants of stacks},
author = {Michael A. Rose},
journal= {arXiv preprint arXiv:math/0605776},
year = {2008}
}
Comments
Updated to match version published in American Journal of Mathematics, 2007. Only slight modifications