Braids for pretzel links
A. Del Pozo Manglano, P. M. G. Manch\'on
TL;DR
This paper presents a method to construct explicit braid representations for any pretzel link, providing a systematic way to derive braid words directly from the pretzel link parameters.
Contribution
The authors introduce a general procedure to obtain braid words for pretzel links, linking link parameters to explicit braid representations.
Findings
A universal method for pretzel link braid construction
Explicit braid words derived from pretzel link parameters
Applicable to all pretzel links
Abstract
We give a general procedure that provides, given any particular pretzel link, a braid whose closure is the pretzel link. Moreover, we manage to give a specific braid word in terms of the entries of the pretzel link.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Advanced Operator Algebra Research