2001 Fiscal Year Final Research Report Summary
Study for 3-mainfolds and knots, links and graphs contained in them
| Project/Area Number |
12640091
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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 Woman's Christian University |
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Principal Investigator |
KOBAYASHI Kazuaki TWCV, Arts & Science, Professor, 文理学部, 教授 (50031323)
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| Co-Investigator(Kenkyū-buntansha) |
OAKU Toshinori TWCV, Arts & Science, Professor, 文理学部, 教授 (60152039)
MIYACHI Akihiko TWCV, Arts & Science, Professor, 文理学部, 教授 (60107696)
KONDO Takeshi TWCV, Arts & Science, Professor, 文理学部, 教授 (20012338)
ISHIWATA Makiko TWCV, Arts & Science, Assistant, 文理学部, 助手 (80277095)
SHINOHARA Masahiko TWCV, Arts & Science, Professor, 文理学部, 教授 (70086346)
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| Project Period (FY) |
2000 – 2001
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| Keywords | Local move / Ribbon link / Vassiliev invariant / Spatial graph / Homology sphere / Moonshine VOA / Hardy space / D-module |
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| Research Abstract |
We studied 3-maintolds itself and knote, links and graphs contained in 3-maintolds. And we held symposiums or workshops sevel times studing there (Mn-move) and studied the differences among foundary links, h-split links and sparate ribbon links using Mn-move. And we also showed that Mn-moves can be used a classification of ribbon knots. We studied vassiliev invariants for spatial graphs in the 3-sphere. And also studied to divide a topological space into two disjoint homeomorphic spaces.
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