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arXiv · 0705.2160

Quantum cohomology of [C^N/μ_r]

Arend Bayer·Charles Cadman
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Abstract

We give a construction of the moduli space of stable maps to the classifying stack Bμ_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 μ_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/μ_r]. We deduce linear recursions for all genus-zero Gromov-Witten invariants.

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Arend Bayer, Charles Cadman. 2009-01-29. Quantum cohomology of [C^N/μ_r]. https://doi.org/10.1112/s0010437x10004793

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