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Double Ramification Cycles with Orbifold Targets

Bo Hui Chen,Cheng Yong Du,Rui Wang

Acta Mathematica Sinica, English Series（2022）

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Abstract
In this paper, we consider double ramification cycles with orbifold targets. An explicit formula for double ramification cycles with orbifold targets, which is parallel to and generalizes the one known for the smooth case, is provided. Some applications for orbifold Gromov—Witten theory are also included.
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Root of orbifold line bundles,polynomiality,double ramification cycle,absolute/relative orbifold Gromov—Witten theory
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