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Correspondence theorem between holomorphic discs and tropical discs on K3 surfaces K3表面上全纯盘与热带盘的对应定理
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2021-01-06 DOI: 10.4310/jdg/1609902017
Yu-Shen Lin
{"title":"Correspondence theorem between holomorphic discs and tropical discs on K3 surfaces","authors":"Yu-Shen Lin","doi":"10.4310/jdg/1609902017","DOIUrl":"https://doi.org/10.4310/jdg/1609902017","url":null,"abstract":"In this paper, we prove that the open Gromov–Witten invariants defined in [20] on K3 surfaces satisfy the Kontsevich–Soibelman wall-crossing formula. One hand, this gives a geometric interpretation of the slab functions in Gross–Siebert program. On the other hands, the open Gromov–Witten invariants coincide with the weighted counting of tropical discs. This is an analog of the corresponding theorem on toric varieties [26][27] but on compact Calabi–Yau surfaces.","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2021-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138503390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Limit of Weierstrass measure on stable curves 稳定曲线上Weierstrass测度的极限
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-12-17 DOI: 10.4310/jdg/1668186789
Ngai-fung Ng, Sai-Kee Yeung
{"title":"Limit of Weierstrass measure on stable curves","authors":"Ngai-fung Ng, Sai-Kee Yeung","doi":"10.4310/jdg/1668186789","DOIUrl":"https://doi.org/10.4310/jdg/1668186789","url":null,"abstract":"The goal of the paper is to study the limiting behavior of the Weierstrass measures on a smooth curve of genus $ggeqslant 2$ as the curve approaches a certain nodal stable curve represented by a point in the Deligne-Mumford compactification $overline{mathcal M}_g$ of the moduli $mathcal{M}_g$, including irreducible ones or those of compact type. As a consequence, the Weierstrass measures on a stable rational curve at the boundary of $mathcal{M}_g$ are completely determined. In the process, the asymptotic behavior of the Bergman measure is also studied.","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2020-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42515865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Index to Volume 126 第126卷索引
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-12-03 DOI: 10.4310/jdg/1606964419
{"title":"Index to Volume 126","authors":"","doi":"10.4310/jdg/1606964419","DOIUrl":"https://doi.org/10.4310/jdg/1606964419","url":null,"abstract":"<p><strong>Source: </strong>Journal of Differential Geometry, Volume 116, Number 3</p>","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2020-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138503389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New proof for the regularity of Monge–Ampère type equations 蒙日-安培尔型方程正则性的新证明
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-11-01 DOI: 10.4310/jdg/1606964417
Xu-jia Wang, Yating Wu
{"title":"New proof for the regularity of Monge–Ampère type equations","authors":"Xu-jia Wang, Yating Wu","doi":"10.4310/jdg/1606964417","DOIUrl":"https://doi.org/10.4310/jdg/1606964417","url":null,"abstract":"","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42466754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
The $L_p$ Minkowski problem for the electrostatic $mathfrak{p}$-capacity 静电$mathfrak{p}$-容量的$L_p$ Minkowski问题
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-11-01 DOI: 10.4310/jdg/1606964418
Zou Du, Xiong Ge
{"title":"The $L_p$ Minkowski problem for the electrostatic $mathfrak{p}$-capacity","authors":"Zou Du, Xiong Ge","doi":"10.4310/jdg/1606964418","DOIUrl":"https://doi.org/10.4310/jdg/1606964418","url":null,"abstract":"","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46870650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Space of Ricci flows (II)—Part B: Weak compactness of the flows Ricci流的空间（II）——B部分：流的弱紧性
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-09-01 DOI: 10.4310/jdg/1599271253
Xiuxiong Chen, Bing Wang
{"title":"Space of Ricci flows (II)—Part B: Weak compactness of the flows","authors":"Xiuxiong Chen, Bing Wang","doi":"10.4310/jdg/1599271253","DOIUrl":"https://doi.org/10.4310/jdg/1599271253","url":null,"abstract":"","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48727375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 38
Riemann–Hilbert problems for the resolved conifold and non-perturbative partition functions 已解的共褶配分函数和非微扰配分函数的Riemann-Hilbert问题
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-07-01 DOI: 10.4310/jdg/1594260015
T. Bridgeland
{"title":"Riemann–Hilbert problems for the resolved conifold and non-perturbative partition functions","authors":"T. Bridgeland","doi":"10.4310/jdg/1594260015","DOIUrl":"https://doi.org/10.4310/jdg/1594260015","url":null,"abstract":"","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48491802","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 14
Index to Volume 115 第115卷索引
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-07-01 DOI: 10.4310/jdg/1594260020
{"title":"Index to Volume 115","authors":"","doi":"10.4310/jdg/1594260020","DOIUrl":"https://doi.org/10.4310/jdg/1594260020","url":null,"abstract":"","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47177873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Variation of complex structures and variation of Lie algebras II: new Lie algebras arising from singularities 复结构的变分与李代数的变分II:由奇点产生的新李代数
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-07-01 DOI: 10.4310/jdg/1594260016
Bingyi Chen, Naveed Hussain, S. Yau, Huaiqing Zuo
{"title":"Variation of complex structures and variation of Lie algebras II: new Lie algebras arising from singularities","authors":"Bingyi Chen, Naveed Hussain, S. Yau, Huaiqing Zuo","doi":"10.4310/jdg/1594260016","DOIUrl":"https://doi.org/10.4310/jdg/1594260016","url":null,"abstract":"","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41773131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 24
The dilogarithm and abelian Chern–Simons 二重数与阿贝尔陈-西蒙斯
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-06-22 DOI: 10.4310/jdg/1680883577
D. Freed, A. Neitzke
{"title":"The dilogarithm and abelian Chern–Simons","authors":"D. Freed, A. Neitzke","doi":"10.4310/jdg/1680883577","DOIUrl":"https://doi.org/10.4310/jdg/1680883577","url":null,"abstract":"We construct the (enhanced Rogers) dilogarithm function from the spin Chern-Simons invariant of C*-connections. This leads to geometric proofs of basic dilogarithm identities and a geometric context for other properties, such as the branching structure.","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2020-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46061039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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