Double Ramification Cycles with Orbifold Targets  

作　　者：Bo Hui CHEN Cheng Yong DU Rui WANG 

机构地区：[1]Department of Mathematics,Sichuan University,Chengdu 610064,P.R.China [2]School of Mathematical Sciences,V.C.&V.R.Key Lab and Laurent Mathematics Center,Sichuan Normal University,Chengdu 610068,P.R.China [3]Department of Mathematics,University of California,Berkeley,CA 94720-3840,USA

出　　处：《Acta Mathematica Sinica,English Series》2022年第8期1333-1376,共44页数学学报（英文版）

基　　金：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);a joint research project of Laurent Mathematics Research Center of Sichuan Normal University and V.C.&V.R.Key Lab of Sichuan Province。

摘　　要：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.

关 键 词：Root of orbifold line bundles polynomiality double ramification cycle absolute/relative orbifold Gromov–Witten theory 

分 类 号：O153.3[理学—数学]