Localization formulae in Donaldson-Thomas theory of Calabi-Yau 4-folds

Calabi-Yau 4 倍 Donaldson-Thomas 理论中的定域公式

• 批准号: 19K23397
• 负责人: Cao Yalong
• 金额: $ 1.58万
• 依托单位: Institute of Physical and Chemical Research (2021-2022)The University of Tokyo (2019-2020)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Research Activity Start-up
• 财政年份: 2019
• 资助国家: 日本
• 起止时间: 2019-08-30 至 2024-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-19K23397/
• 关键词: Curve counting; Calabi-Yau 4-folds; crepant resolution; localization formulae; Donaldson-Thomas theory

In this year, I wrote one paper "A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds" with Martijn Kool (from Utrecht University) and Sergej Monavari (from Ecole Polytechnique Federale de Lausanne). We have submitted it to a journal for referee. I have also been working with Gufang Zhao from Melbourne university on quasimap theory to quivers with potentials. The paper will appear soon.

在这一年，我写了一篇论文“一个唐纳森-托马斯crepant决议猜想上Calabi-Yau 4-folds”与Martijn Kool（乌得勒支大学）和Sergej Monavari（从联邦理工学院洛桑）。我们已经把它提交给一家杂志进行评审。我也和墨尔本大学的赵谷芳一起研究准映射理论，研究具有势的颤动。论文很快就会出现。

项目成果

Tsinghua Lectures in Mathematics

清华数学讲座

• 发表时间: 2019
• 作者: Yalong Cao;Naichung Conan Leung
• 通讯作者: Naichung Conan Leung

Mathematical Institute/Utrecht university(オランダ)

数学研究所/乌得勒支大学（荷兰）

Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau 4-folds

Calabi-Yau 4 倍的稳定对和 Gopakumar-Vafa 型不变量

• DOI: 10.4171/jems/1110
• 发表时间: 2022
• 期刊: Journal of the European Mathematical Society
• 影响因子: 2.6
• 作者: Yalong Cao;Davesh Maulik;Yukinobu Toda
• 通讯作者: Yukinobu Toda

Curve counting via stable objects in derived cate- gories of Calabi-Yau 4-folds

通过 Calabi-Yau 4 倍派生类别中的稳定对象进行曲线计数

• DOI: 10.1016/j.aim.2022.108531
• 发表时间: 2022
• 期刊: Advances in Mathematics
• 影响因子: 1.7
• 作者: ATOBE Hiraku;CHIDA Masataka;IBUKIYAMA Tomoyoshi;KATSURADA Hidenori;YAMAUCHI Takuya;Yalong Cao and Yukinobu Toda
• 通讯作者: Yalong Cao and Yukinobu Toda

Gopakumar-Vafa type Invariants on Calabi-Yau 4-folds via descendent insertionsInsertions

Calabi-Yau 4 倍上的 Gopakumar-Vafa 型不变量通过后代插入插入

• DOI: 10.1007/s00220-020-03897-9
• 发表时间: 2020
• 期刊: Communications in Mathematical Physics
• 影响因子: 2.4
• 作者: Cao Yalong;Toda Yukinobu
• 通讯作者: Toda Yukinobu