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

Autor:	Jie Zhou, Shuai Guo, Wei-Ping Li, Huai-Liang Chang
Rok vydání:	2018
Předmět:	Pure mathematics Mathematics::Algebraic Geometry General Mathematics Genus (mathematics) Mathematics::Symplectic Geometry Quintic function Mathematics
Zdroj:	International Mathematics Research Notices. 2020:6421-6462
ISSN:	1687-0247 1073-7928
DOI:	10.1093/imrn/rny201
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::823c3524249e4b46fe0690b5ce76b898 https://doi.org/10.1093/imrn/rny201 Zobrazit plný text záznamu