Holomorphic Anomaly Equations for the Formal Quintic

作     者：Hyenho Lho Rahul Pandharipande 

作者机构：Department of MathematicsETH ZürichZurichSwitzerland 

出 版 物：《Peking Mathematical Journal》 (北京数学杂志（英文）)

年 卷 期：2019年第2卷第1期

页      面：1-40页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by SNF-200020182181,ERC-2012-AdG-320368-MCSK,ERC-2017-AdG-786580-MACI,SwissMAP the Einstein Stiftung.H.L.was supported by the Grants ERC-2012-AdG-320368-MCSK and ERC-2017-AdG-786580-MACI funding from the European Research Council(ERC)under the European Union’s Horizon 2020 research and innovation programme(grant agreement No 786580) 

主　　题：Gromov-Witten invariants Holomorphic anomaly equations Quintic threefold 

摘      要：We define a formal Gromov-Witten theory of the quintic threefold via localization onℙ*** main result is a direct geometric proof of holomorphic anomaly equa-tions for the formal quintic in precisely the same form as predicted by B-model physics for the true Gromov-Witten theory of the quintic *** results sug-gest that the formal quintic and the true quintic theories should be related by trans-formations which respect the holomorphic anomaly *** a relationship has been recently found by ***,***,***,and *** via the geometry of new moduli spaces.