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Double Ramification Cycles with Orbifold Targets

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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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Acknowledgements

We warmly thank Hsian-Hua Tseng and Fenglong You for valuable comments on the earlier arXiv version; Rui Wang sincerely thanks Alexander Givental for stimulating discussions during the preparation of the work. We thank the referees for their time and comments.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, 610064, P. R. China

    Bo Hui Chen

  2. School of Mathematical Sciences, V. C. & V. R. Key Lab and Laurent Mathematics Center, Sichuan Normal University, Chengdu, 610068, P. R. China

    Cheng Yong Du

  3. Department of Mathematics, University of California, Berkeley, CA, 94720-3840, USA

    Rui Wang

Authors
  1. Bo Hui Chen
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  2. Cheng Yong Du
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  3. Rui Wang
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Corresponding author

Correspondence to Cheng Yong Du.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 11890663, 12071322, 11890660, 11826102), the National Key R&D Program of China (Grant No. 2020YFA0714000), the Sichuan Science and Technology Program (Grant Nos. 2019YJ0509 and 2022JDTD0019) and a joint research project of Laurent Mathematics Research Center of Sichuan Normal University and V. C. & V. R. Key Lab of Sichuan Province.

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Chen, B.H., Du, C.Y. & Wang, R. Double Ramification Cycles with Orbifold Targets. Acta. Math. Sin.-English Ser. 38, 1333–1376 (2022). https://doi.org/10.1007/s10114-022-1073-y

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  • DOI: https://doi.org/10.1007/s10114-022-1073-y

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