Computing a categorical Gromov-Witten invariant

doi:10.1112/S0010437X20007174

	Computing a categorical Gromov-Witten invariant
	Caldararu, Andrei 1; Tu, Junwu2
	2020-07
发表期刊	COMPOSITIO MATHEMATICA
ISSN	0010-437X
EISSN	1570-5846
卷号	156 期号:7 页码:1275-1309
发表状态	已发表
DOI	10.1112/S0010437X20007174
摘要	We compute the g = 1, n = 1 B-model Gromov-Witten invariant of an elliptic curve E directly from the derived category D-coh(b) (E). More precisely, we carry out the computation of the categorical Gromov{Witten invariant defined by Costello using as target a cyclic A(infinity) model of D-coh(b)(E) described by Polishchuk. This is the first non-trivial computation of a positive-genus categorical Gromov-Witten invariant, and the result agrees with the prediction of mirror symmetry: it matches the classical (non-categorical) Gromov-Witten invariants of a symplectic 2-torus computed by Dijkgraaf.
关键词	Gromov-Witten A(infinity) categories elliptic curves
URL	查看原文
收录类别	SCI ; SCIE
语种	英语
资助项目	National Science Foundation[DMS-1200721]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000541069200001
出版者	CAMBRIDGE UNIV PRESS
WOS关键词	MANIFOLDS ; SYMMETRY ; PERIODS
原始文献类型	Article
引用统计
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/121807
专题	数学科学研究所_PI研究组(P)_涂君武组
通讯作者	Caldararu, Andrei
作者单位	1.Univ Wisconsin, Math Dept, 480 Lincoln Dr, Madison, WI 53706 USA 2.ShanghaiTech Univ, Inst Math Sci, 393 Huaxia Rd, Shanghai 201210, Peoples R China
推荐引用方式 GB/T 7714	Caldararu, Andrei,Tu, Junwu. Computing a categorical Gromov-Witten invariant[J]. COMPOSITIO MATHEMATICA,2020,156(7):1275-1309.
APA	Caldararu, Andrei,&Tu, Junwu.(2020).Computing a categorical Gromov-Witten invariant.COMPOSITIO MATHEMATICA,156(7),1275-1309.
MLA	Caldararu, Andrei,et al."Computing a categorical Gromov-Witten invariant".COMPOSITIO MATHEMATICA 156.7(2020):1275-1309.