2010 Fiscal Year Final Research Report
Cn-equivalence on string links and Milnor invariants
| Project/Area Number |
20540065
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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 Gakugei University |
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Principal Investigator |
YASUHARA Akira Tokyo Gakugei University, 教育学部, 准教授 (60256625)
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| Project Period (FY) |
2008 – 2010
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| Keywords | link / string link / Cn-move / self Cn-move / delta-move / self delta-move / Milnor invariant |
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| Research Abstract |
For any finite sequence I valued in {1, …, m}, Milnor invariant μ(I) for m-string links are defined. We denote by r(I) the maximal number of times which any index appears in I. We give a geometric characterization for string links which have same Milnor invariants μ(I) for any I with r(I) at most 2. And, for a natural number k which is at most 6, we give a geometric characterization for string links which have same Milnor invariants μ(I) for any sequence I with length at most k.
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