| 研究課題/領域番号 |
19K23397
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| 研究機関 | 国立研究開発法人理化学研究所 |
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研究代表者 |
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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| 研究期間 (年度) |
2019-08-30 – 2023-03-31
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| キーワード | localization formulae / Donaldson-Thomas theory / Calabi-Yau 4-folds |
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| 研究実績の概要 |
In this academic year, I wrote two research papers: 1. "Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds", 2. "Stable pairs and Gopakumar-Vafa type invariants on holomorphic symplectic 4-folds", jointly with Georg Oberdieck and Yukinobu Toda. We have submitted them to journals and they are now under referee process. Two of my previous written papers got published, one in "Mathematische Annalen" and one in "Advances in Mathematics". I was also invited to write a review paper "Yang-Mills theories on geometric spaces" published on "Reviews in Mathematical Physics". This seems to attract attentions of many researchers (over 15000 download according to the journal).
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
3: やや遅れている
理由
Due to COVID pandemic, my collaborators Sergej Monavari and Martijn Kool are not able to enter Japan to have face to face discussions. This makes a project on "crepant resolution conjecture of Calabi-Yau 4-folds" slightly delayed.
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| 今後の研究の推進方策 |
The border of Japan has reopened recently. Hopefully my collaborators mentioned above will be able to visit me in Japan later this year and we can then have face to face discussions and try to finish writing our ongoing joint papers.
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| 次年度使用額が生じた理由 |
Expect to use up all remaining funding in the coming fiscal year. It will be used to support travel expenses of my collaborator to visit me in Japan.
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