A PROOF OF THE LANDAU-GINZBURG/CALABI-YAU CORRESPONDENCE VIA THE CREPANT TRANSFORMATION CONJECTURE

Lee Yuan-Pin; Priddis Nathan; Shoemaker Mark

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A PROOF OF THE LANDAU-GINZBURG/CALABI-YAU CORRESPONDENCE VIA THE CREPANT TRANSFORMATION CONJECTURE

机译：通过皱巴体转换猜想的Landau-Ginzburg / Calabi-yau对应证明

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We establish a new relationship (the MLK correspondence) between twisted FJRW theory and local Gromov-Witten theory in all genera. As a consequence, we show that the Landau-Ginzburg/Calabi-Yau correspondence is implied by the crepant transformation conjecture for Fermat type in genus zero. We use this to then prove the Landau-Ginzburg/Calabi-Yau correspondence for Fermat type, generalizing the results of A. Chiodo and Y. Ruan in [7].

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《Annales scientifiques de l'Ecole normale superieure》 |2016年第6期|共41页
作者
Lee Yuan-Pin; Priddis Nathan; Shoemaker Mark;
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作者单位

Univ Utah Dept Math Salt Lake City UT 84112 USA;

Leibniz Univ Hannover Inst Algebra Geometry Welfengarten 1 D-30167 Hannover Germany;

Colorado State Univ Dept Math Ft Collins CO 80523 USA;

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正文语种 eng
中图分类自然科学总论;师范教育理论;
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1. Landau-Ginzburg/Calabi-Yau Correspondence via Wall-Crossing [J] . Jinwon CHOI, Young-Hoon KIEM 数学年刊B辑（英文版） . 2017,第004期
2. A New Proof of Calabi-Yau＇s Theorem [J] . FU Xiao-yong 数学季刊：英文版 . 2007,第004期
3. Geometric Proof of Riemann Conjecture (Continued) [J] . Chuanmiao Chen 理论数学进展（英文） . 2021,第009期
4. Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations [J] . Chiodo A., Ruan Y. Inventiones Mathematicae . 2010,第1期

机译：通过辛变换将五次三倍的Landau-Ginzburg / Calabi-Yau对应
5. LANDAU-GINZBURG/CALABI-YAU CORRESPONDENCE, GLOBAL MIRROR SYMMETRY AND ORLOV EQUIVALENCE [J] . ALESSANDRO CHIODO, HIROSHI IRITANI, YONGBIN RUAN Publications mathematiques . 2014,第119期

机译：LANDAU-GINZBURG / CALABI-YAU对应，全球镜子对称性和ORLOV等效
6. The crepant transformation conjecture implies the monodromy conjecture [J] . Jiang Yunfeng, Tseng Hsian-Hua Mathematical research letters: MRL . 2019,第5期

机译：皱巴巴的转化猜想意味着单变型猜想
7. The Landau-Ginzburg/Calabi-Yau correspondence and the mirror quintic [C] . Nathan Priddis Workshop "Primitive Forms and Related Subjects" . 2019

机译：兰道·金茨堡/卡拉比·尤书信和《镜中五重奏》
8. Linear Linkless Embeddings: Proof of a Conjecture by Sachs [D] . Stanfield, Preston C. 2021

机译：线性镶嵌嵌入式：SACHS的猜想证明
9. Proof of George Andrews’s and David Robbins’s q-TSPP conjecture [O] . Christoph Koutschan, Manuel Kauers, Doron Zeilberger 2011

机译：乔治·安德鲁斯和大卫·罗宾斯的q-TSPP猜想的证明
10. Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations [O] . Chiodo, Alessandro, Ruan, Yongbin 2013

机译：Landau-Ginzburg / Calabi-Yau三次通过的五次通信辛变换
11. Proof of the Tsygan Formality Conjecture for Chains. [R] . Shoikhet, B. 2001

机译：链的Tsygan形式猜想的证明。

A PROOF OF THE LANDAU-GINZBURG/CALABI-YAU CORRESPONDENCE VIA THE CREPANT TRANSFORMATION CONJECTURE

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