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Article Dans Une Revue Pacific Journal of Mathematics Année : 2008

On C_n-moves for links

Jean-Baptiste Meilhan

Résumé

A C_n-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 C_n-moves, under certain restrictions. Namely, we give a classification up to C_4-moves of 2-component links, 3-component Brunnian links and n-component C_3-trivial links, and we classify n-component link-homotopically trivial Brunnian links up to C_{n+1}-moves.

Dates et versions

hal-00347997 , version 1 (17-12-2008)

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Citer

Jean-Baptiste Meilhan, Akira Yasuhara. On C_n-moves for links. Pacific Journal of Mathematics, 2008, 238, pp.119-143. ⟨hal-00347997⟩

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