1998 Fiscal Year Final Research Report Summary
Topology of knots and 3-manifolds
| Project/Area Number |
09640093
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
OHTSUKI Tomotada Tokyo Institute of Techonology, Graduate School of Information Science and Engineering, Associate Professor, 大学院・情報理工学研究科, 助教授 (50223871)
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| Co-Investigator(Kenkyū-buntansha) |
MURAKAMI Hitoshi Waseda University, School of Sceince and Engineering, Associate Professor, 理工学部, 助教授 (70192771)
KOJIMA Sadayoshi Tokyo Institute of Technology, Graduate School of Information Science and Engine, 大学院・情報理工学研究科, 教授 (90117705)
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| Project Period (FY) |
1997 – 1998
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| Keywords | Knot / 3-manifold / Finite Type Invariant / Perturbative / The LMO Invariant |
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| Research Abstract |
In this research, we had studied relations among perturbative invariants, finite type invariants and the LMO invariants of 3-manifolds and related topics of these invariants.
We had obtained results on :
(1) topological quantum fieLd theory for the LMO invariant,
(2) finite invariants of Seifert matrices of knots,
(3) filtration derived from finite type invariants and Habiro's clasper.
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