Genus-One Gromov–Witten Invariants of Quintic Three-folds via MSP Localization-Reference-Cited by-同舟云学术

Genus-One Gromov–Witten Invariants of Quintic Three-folds via MSP Localization

Published:2018-08-16 Issue:19 Volume:2020 Page:6421-6462
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Chang Huai-Liang¹,Guo Shuai²,Li Wei-Ping¹,Zhou Jie³

Affiliation:

1. Mathematics Department, Hong Kong University of Science and Technology, Hong Kong

2. School of Mathematical Sciences and Beijing International Center for Mathematical Research, Peking University, Beijing, P. R. China

3. Mathematical Institute, University of Cologne, Weyertal 86-90, 50931 Cologne, Germany

Abstract

Abstract The moduli stack of Mixed Spin P-fields (MSP) provides an effective algorithm to evaluate all genus Gromov–Witten (GW) invariants of the quintic Calabi–Yau (CY) three-folds. This paper is to apply the algorithm to the genus-one case. We use the localization formula, the proposed algorithm in [ 10, 11], and Zinger’s packaging technique to compute the genus-one GW invariants of the quintic CY three-folds. Our approach to the formula suggests a correspondence between each type of MSP graphs with each physics’ phase: CY, Landau–Ginzburg, or conifold point. In this process, new differential relations among Givental’s I-functions are also discovered.

Funder

Hong Kong GRF

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2020/19/6421/33975295/rny201.pdf

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