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Polynomial structure of Gromov--Witten potential of quintic threefolds

Huai-Liang Chang Hong Kong University of Science and Technology Shuai Guo School of Mathematical Sciences and Beijing International Center for Mathematical Research, Peking University Jun Li Shanghai Center for Mathematical Sciences, Fudan University, China

mathscidoc:1908.01015

We prove two structure theorems for the Gromov-Witten theory of the quintic threefolds, which together give an effective algorithm for the all genus Gromov-Witten potential functions of quintics. By using these structure theorems, we prove {Yamaguchi-Yau's Polynomial Ring} Conjecture in this paper and prove {Bershadsky-Cecotti-Ooguri-Vafa's Feynman rule} conjecture in the subsequent paper.
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@inproceedings{huai-liangpolynomial,
  title={Polynomial structure  of Gromov--Witten potential  of quintic threefolds},
  author={Huai-Liang Chang, Shuai Guo, and Jun Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190822221412589237459},
}
Huai-Liang Chang, Shuai Guo, and Jun Li. Polynomial structure of Gromov--Witten potential of quintic threefolds. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190822221412589237459.
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