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Quantum cohomology of [ℂN/μr]
- Part of
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- Journal:
- Compositio Mathematica / Volume 146 / Issue 5 / September 2010
- Published online by Cambridge University Press:
- 22 June 2010, pp. 1291-1322
- Print publication:
- September 2010
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- Article
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We give a construction of the moduli space of stable maps to the classifying stack Bμr of a cyclic group by a sequence of rth root constructions on
. 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 genus-zero Gromov–Witten invariants.
. We prove a closed formula for the total Chern class of 