| Project/Area Number |
24KF0200
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| Research Category |
Grant-in-Aid for JSPS Fellows
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| Allocation Type | Multi-year Fund |
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| Section | 外国 |
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| Review Section |
Basic Section 11020:Geometry-related
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| Research Institution | The University of Tokyo |
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Principal Investigator |
葉廣 和夫 東京大学, 大学院数理科学研究科, 教授 (80346064)
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| Co-Investigator(Kenkyū-buntansha) |
GRAFF EMMANUEL 東京大学, 大学院数理科学研究科, 外国人特別研究員
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| Project Period (FY) |
2024-11-15 – 2027-03-31
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| Project Status |
Granted (Fiscal Year 2024)
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| Budget Amount *help |
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2026: ¥100,000 (Direct Cost: ¥100,000)
Fiscal Year 2025: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2024: ¥900,000 (Direct Cost: ¥900,000)
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| Outline of Research at the Start |
This project has two objectives: (1) to define and study link-homotopy for 3-manifolds, starting with homology cobordisms, using a Milnor-Johnson framework and Johnson homomorphisms as potential invariants, and (2) to revisit the Goussarov-Habiro conjecture in concordance, exploring higher-order Arf invariants via clasper theory and reformulating the conjecture in welded knot theory for new insights.
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