A reconstruction theorem for genus zero Gromov-Witten invariants of stacks

Details A reconstruction theorem for genus zero Gromov-Witten invariants of stacks A reconstruction theorem for genus zero Gromov-Witten invariants of stacks

2006-05-31

arxiv.org/abs/math/0605776v2

Mathematics

Algebraic Geometry

Updated to match version published in American Journal of Mathematics, 2007. Only slight modifications

Scientific paper

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 $H^2$-generation not on the cohomology ring, but on an any
quantum ring in the family given by small quantum cohomology.

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