Categorical Primitive Forms and Gromov-Witten Invariants of A(n) Singularities

doi:10.1093/imrn/rnz315

	Categorical Primitive Forms and Gromov-Witten Invariants of A(n) Singularities
	Caldararu, Andrei 1; Li, Si 2,3; Tu, Junwu1,4
	2021-12
发表期刊	INTERNATIONAL MATHEMATICS RESEARCH NOTICES (IF:0.9[JCR-2023],1.0[5-Year])
ISSN	1073-7928
EISSN	1687-0247
卷号	2021 期号:24
发表状态	已发表
DOI	10.1093/imrn/rnz315
摘要	We introduce a categorical analogue of Saito's notion of primitive forms. For the category MF(1/n+1x(n+1)) of matrix factorizations of 1/n+ x(n+1), we prove that there exists a unique, up to non-zero constant, categorical primitive form. The corresponding genus zero categorical Gromov-Witten invariants of MF(1/n+1x(n+1)) are shown to match with the invariants defined through unfolding of singularities of 1/n+1x(n+1).
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收录类别	SCI ; SCIE
语种	英语
资助项目	National Science Foundation[
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000740670600004
出版者	OXFORD UNIV PRESS
引用统计	正在获取...
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/150324
专题	数学科学研究所_PI研究组(P)_涂君武组
通讯作者	Tu, Junwu
作者单位	1.Univ Wisconsin Madison, Math Dept, 480 Lincoln Dr, Madison, WI 53706 USA 2.Tsinghua Univ, Math Dept, Beijing 100084, Peoples R China 3.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China 4.ShanghaiTech Univ, Inst Math Sci, Shanghai 201210, Peoples R China
通讯作者单位	数学科学研究所
推荐引用方式 GB/T 7714	Caldararu, Andrei,Li, Si,Tu, Junwu. Categorical Primitive Forms and Gromov-Witten Invariants of A(n) Singularities[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2021,2021(24).
APA	Caldararu, Andrei,Li, Si,&Tu, Junwu.(2021).Categorical Primitive Forms and Gromov-Witten Invariants of A(n) Singularities.INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2021(24).
MLA	Caldararu, Andrei,et al."Categorical Primitive Forms and Gromov-Witten Invariants of A(n) Singularities".INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2021.24(2021).