Abstract
We compute the relative orbifold Gromov–Witten invariants of with respect to vertical fibers. Via a vanishing property of the Hurwitz–Hodge bundle, 2-point rubber invariants are calculated explicitly using Pixton’s formula for the double ramification cycle, and the orbifold quantum Riemann–Roch. As a result parallel to its crepant resolution counterpart for , the GW/DT/Hilb/Sym correspondence is established for . The computation also implies the crepant resolution conjecture for the relative orbifold Gromov–Witten theory of .
Citation
Zijun Zhou. Zhengyu Zong. "Gromov–Witten theory of ." Algebra Number Theory 16 (1) 1 - 58, 2022. https://doi.org/10.2140/ant.2022.16.1
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