On C_n-moves for links

Jean-Baptiste Meilhan; Akira Yasuhara

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On C_n-moves for links

Jean-Baptiste Meilhan·Akira Yasuhara

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Abstract

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.

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BibTeX RIS

Jean-Baptiste Meilhan, Akira Yasuhara. 2006-07-05. On C_n-moves for links. https://arxiv.org/abs/math/0607116

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