Abstract
The set of –string links has a monoid structure, given by the stacking product. When considered up to concordance, becomes a group, which is known to be abelian only if . In this paper, we consider two families of equivalence relations which endow with a group structure, namely the –equivalence introduced by Habiro in connection with finite-type invariants theory, and the –concordance, which is generated by –equivalence and concordance. We investigate under which condition these groups are abelian, and give applications to finite-type invariants.
Citation
Jean-Baptiste Meilhan. Akira Yasuhara. "Abelian quotients of the string link monoid." Algebr. Geom. Topol. 14 (3) 1461 - 1488, 2014. https://doi.org/10.2140/agt.2014.14.1461
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