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- W3099409438 abstract "The set SL(n) of n-string links has a monoid structure, given by the stacking product. When considered up to concordance, SL(n) becomes a group, which is known to be abelian only if n=1. In this paper, we consider two families of equivalence relations which endow SL(n) with a group structure, namely the C_k-equivalence introduced by Habiro in connection with finite type invariants theory, and the C_k-concordance, which is generated by C_k-equivalence and concordance. We investigate under which condition these groups are abelian, and give applications to finite type invariants." @default.
- W3099409438 created "2020-11-23" @default.
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- W3099409438 date "2014-04-07" @default.
- W3099409438 modified "2023-10-17" @default.
- W3099409438 title "Abelian quotients of the string link monoid" @default.
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- W3099409438 doi "https://doi.org/10.2140/agt.2014.14.1461" @default.
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