函数，折线和2标记的log Gromov-Witten不变量。

IF 0.5 4区数学 Q3 MATHEMATICS

Manuscripta Mathematica Pub Date : 2025-01-01 Epub Date: 2025-06-19 DOI:10.1007/s00229-025-01640-z

Tim Gräfnitz

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引用次数: 0

摘要

θ函数定义为具有有效反正则因子[11]的变异，并与某些刺破的Gromov-Witten不变量[2]相关。我们证明了在一个log Calabi-Yau曲面（X， D）的情况下，我们可以将函数及其乘法结构与某些2标记的log Gromov-Witten不变量联系起来。这是wall函数与1标记对数Gromov-Witten不变量[8]对应关系的自然推广。它给出了[17]的内在镜像结构的一种列举解释，并将与[9]的外Aganagic-Vafa膜的开放镜像映射有关。

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Theta functions, broken lines and 2-marked log Gromov-Witten invariants.

Theta functions were defined for varieties with effective anticanonical divisor [11] and are related to certain punctured Gromov-Witten invariants [2]. We show that in the case of a log Calabi-Yau surface (X, D) with smooth very ample anticanonical divisor we can relate theta functions and their multiplicative structure to certain 2-marked log Gromov-Witten invariants. This is a natural extension of the correspondence between wall functions and 1-marked log Gromov-Witten invariants [8]. It gives an enumerative interpretation for the intrinsic mirror construction of [17] and will be related to the open mirror map of outer Aganagic-Vafa branes in [9].

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来源期刊

Manuscripta Mathematica 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： manuscripta mathematica was founded in 1969 to provide a forum for the rapid communication of advances in mathematical research. Edited by an international board whose members represent a wide spectrum of research interests, manuscripta mathematica is now recognized as a leading source of information on the latest mathematical results.