The mixed Hilden braid group and the plat equivalence in handlebodies

Given a knot or link in the handlebody, $H_g$, of genus $g$ we prove that it can always be represented as the plat closure of a braid in $H_g$. We further establish the Hilden braid group for the handlebody, as a subgroup of the mixed braid group, whose elements have the first $g$ strands fixed form...

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Hauptverfasser:	Cavicchioli, Paolo, Lambropoulou, Sofia
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Geometric Topology
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