2022 Fiscal Year Research-status Report
Localization formulae in Donaldson-Thomas theory of Calabi-Yau 4-folds
| Project/Area Number |
19K23397
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| Research Institution | Institute of Physical and Chemical Research |
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Principal Investigator |
Cao Yalong 国立研究開発法人理化学研究所, 数理創造プログラム, 研究員 (80791459)
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| Project Period (FY) |
2019-08-30 – 2024-03-31
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| Keywords | Curve counting / Calabi-Yau 4-folds / crepant resolution |
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| Outline of Annual Research Achievements |
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.
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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
I have kept discussions with my collaborators via email communications and zoom meetings. This enables us to finish our project smoothly.
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| Strategy for Future Research Activity |
My collaborators will visit me in Japan later this year and we can then have face to face discussions and decide the future projects.
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| Causes of Carryover |
Due to Covid travel restriction, my collaborators did not get a chance to visit me in Japan. They will plan trip to Japan in FY 2023.
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