Quantum Curve and Bilinear Fermionic Form for the Orbifold Gromov–Witten Theory of P[r]  

作　　者：Chong Yao CHEN Shuai GUO 

机构地区：[1]Mathematics Department,Duke University,Box 90320,Durham,NC 27708-0320,USA [2]School of Mathematical Sciences,Peking University,Beijing 100871,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第1期43-80,共38页数学学报（英文版）

基　　金：Supported by National Key R&DProgram of China(Grant No.2020YFE0204200);NSFC(Grant Nos.12225101,12061131014 and 11890660)。

摘　　要：We construct the quantum curve for the Baker-Akhiezer function of the orbifold Gromov-Witten theory of the weighted projective line P[r].Furthermore,we deduce the explicit bilinear Fermionic formula for the(stationary)Gromov-Witten potential via the lifting operator contructed from the Baker-Akhiezer function.

关 键 词：Quantum curve Free Fermions Gromov-Witten invariants Orbifold P^(1) 

分 类 号：O186.11[理学—数学]