2012 Fiscal Year Final Research Report
OnMilnorinvariantsandclassificationoflinksunder freeselfCn-equivalence
| Project/Area Number |
22540104
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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 | Osaka Institute of Technology |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
TSUKAMOTO Tatsuya 大阪工業大学, 工学部, 准教授 (10350480)
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| Co-Investigator(Renkei-kenkyūsha) |
YASUHARA Akira 東京学芸大学, 教育学部, 教授 (60256625)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 位相幾何学 / 結び目理論 |
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| Research Abstract |
We introduced simple ribbon moves, and as their extension, simpleribbon fusions toward a systematic construction of ribbon links inspired by Milnor links.Then we studied the effect if we apply them to links, especially on disconnectivity numbersof link introduced by Goldberg and v-th genus, which is a refinement of general genus. Infact, we showed that simple ribbon fusions (moves) never increase the disconnectivitynumbers of links, and never decrease the v-th genus of links.
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