关于环状Calabi-Yau 3-轨道的重塑猜想

IF 3.5 1区数学 Q1 MATHEMATICS

Journal of the American Mathematical Society Pub Date : 2016-04-25 DOI:10.1090/JAMS/934

Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong

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引用次数: 54

摘要

Bouchard-Klemm-Mariño-Pasquetti (BKMP)提出的重构猜想将半射影环形Calabi-Yau 3流形/3轨道的a型开闭拓扑弦振幅(全属开闭Gromov-Witten不变量)与其镜像曲线的Eynard-Orantin不变量联系起来。它是一个环形Calabi-Yau 3-流形/3-轨道的全属开闭镜像对称。本文给出了关于任意半射影环Calabi-Yau 3-轨道相对于外框Aganagic-Vafa拉格朗日膜的所有格开闭轨道Gromov-Witten不变量的BKMP重构猜想的证明。我们还在所有属的闭弦扇区中证明了这个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the remodeling conjecture for toric Calabi-Yau 3-orbifolds

The Remodeling Conjecture proposed by Bouchard-Klemm-Mariño-Pasquetti (BKMP) relates the A-model open and closed topological string amplitudes (the all genus open and closed Gromov-Witten invariants) of a semiprojective toric Calabi-Yau 3-manifold/3-orbifold to the Eynard-Orantin invariants of its mirror curve. It is an all genus open-closed mirror symmetry for toric Calabi-Yau 3-manifolds/3-orbifolds. In this paper, we present a proof of the BKMP Remodeling Conjecture for all genus open-closed orbifold Gromov-Witten invariants of an arbitrary semiprojective toric Calabi-Yau 3-orbifold relative to an outer framed Aganagic-Vafa Lagrangian brane. We also prove the conjecture in the closed string sector at all genera.

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来源期刊

Journal of the American Mathematical Society 数学-数学

CiteScore

7.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics.