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On Cn-moves for links
Jean-Baptiste Meilhan and Akira Yasuhara |
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Vol. 238 (2008), No. 1, 119–143
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Abstract |
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A Cn-move is a local move on links defined by Habiro and Goussarov, which can be regarded as a ‘higher order crossing change’. We use Milnor invariants with repeating indices to provide several classification results for links up to Cn-moves, under certain restrictions. Namely, we give a classification up to C4-moves of 2-component links, 3-component Brunnian links and n-component C3-trivial links. We also classify n-component link-homotopically trivial Brunnian links up to Cn+1-moves. |
Keywords
Cn-moves, Milnor invariants, string
links, Brunnian links, claspers
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Mathematical Subject Classification 2000
Primary: 57M27, 57M25
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Milestones
Received: 2 November 2007
Accepted: 7 August 2008
Published: 1 November 2008
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Authors |
| Jean-Baptiste Meilhan | |
| Institut for Matematiske Fag Ny Munkegade, bygning 1530 8000 Århus C Denmark |
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| http://home.imf.au.dk/meilhan/index.html | |
| Akira Yasuhara | |
| Tokyo Gakugei University Department of Mathematics Koganeishi Tokyo 184-8501 Japan |
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| http://www.u-gakugei.ac.jp/~yasuhara/ | |
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