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Classifying Pretzel Links Obtained By Strong Fusion, Jonathan Homan
Classifying Pretzel Links Obtained By Strong Fusion, Jonathan Homan
Honors Theses
A link is a collection of circles embedded into 3-dimensional space. Pretzel links are an important family of links which comprises those links that fit a general form that includes many of the most common links. The strong fusion of a link joins two components of the link via a band and adds an unknotted circle about the band [4]; this naturally arises in the study of concordance and has been used to model biological phenomena such as site specific recombination in DNA [2]. Here we present a complete and original classification of those pretzel links which can be obtained …