Universität zu Köln

Chang, Huai-Liang, Guo, Shuai, Li, Wei-Ping and Zhou, Jie (2020). Genus-One Gromov-Witten Invariants of Quintic Three-folds via MSP Localization. Int. Math. Res. Notices, 2020 (19). S. 6347 - 6391. OXFORD: OXFORD UNIV PRESS. ISSN 1687-0247

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Chang, Huai-Liang UNSPECIFIED UNSPECIFIED UNSPECIFIED Guo, Shuai UNSPECIFIED UNSPECIFIED UNSPECIFIED Li, Wei-Ping UNSPECIFIED UNSPECIFIED UNSPECIFIED Zhou, Jie UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-315987
DOI:	10.1093/imrn/rny201
Journal or Publication Title:	Int. Math. Res. Notices
Volume:	2020
Number:	19
Page Range:	S. 6347 - 6391
Date:	2020
Publisher:	OXFORD UNIV PRESS
Place of Publication:	OXFORD
ISSN:	1687-0247
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language THEOREM Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/31598