On Cn-moves for links

Jean Baptiste Meilhan; Akira Yasuhara

doi:10.2140/pjm.2008.238.119

On C_n-moves for links

Jean Baptiste Meilhan^*, Akira Yasuhara

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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 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 C_n+1-moves.

Original language	English
Pages (from-to)	119-143
Number of pages	25
Journal	Pacific Journal of Mathematics
Volume	238
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2008.238.119
Publication status	Published - 2008 Nov
Externally published	Yes

Keywords

Brunnian links
C-moves
Claspers
Milnor invariants
String links

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.2140/pjm.2008.238.119

Cite this

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