2006/05/31 by Michael A. Rose, Rose, Michael A.
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.math/0605776
Updated to match version published in American Journal of Mathematics, 2007. Only slight modifications
arxiv created 2008/12/23 · arxiv updated 2009/12/01
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 H2-generation not on the cohomology ring, but on an any quantum ring in the family given by small quantum cohomology.