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Knots and Representation Theory
May 22, 2018 18:30, Moscow
 


The geometric biqaundle of a knot

Eva Horvat

University of Ljubljana

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Abstract: The fundamental quandle of a knot admits a topological interpretation, described by Matveev. The fundamental biquandle of a knot, however, is purely algebraically defi ned. We will present a geometric construction of a biquandle, associated to a knot. A presentation of the geometric biquandle, based on a knot diagram, will be described. Possible generalizations and applications of this construction will be discussed.

Language: English
 
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