2013 Fiscal Year Final Research Report
Study on the classification of string links up to Cn-concordance
| Project/Area Number |
23540074
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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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 |
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| Project Period (FY) |
2011 – 2013
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| Keywords | ストリング絡み目 / Cn-move / ミルナー不変量 / コボルダント |
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| Research Abstract |
The set SL(m) of m-string links has a monoid structure, given by the stacking product. When considered up to concordance, SL(m) becomes a group, which is known to be abelian only if m=1. In this study, we consider a new equivalence relation which endows SL(m) with a group structure, namely the Cn-concordance, which is generated by C_n-equivalence, which is introduced by Habiro, and concordance. We give a necessary and sufficient condition for a pair (m,n) that the Cn-concordant group of m-string links is abelian.
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