Quantum cohomology of [CN/μr]
Abstract
We give a construction of the moduli space of stable maps to the classifying stack Bμr of a cyclic group by a sequence of r-th root constructions on M0, n. We prove a closed formula for the total Chern class of μr-eigenspaces of the Hodge bundle, and thus of the obstruction bundle of the genus zero Gromov-Witten theory of stacks of the form [CN/μr]. We deduce linear recursions for all genus-zero Gromov-Witten invariants.
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