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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 defined. 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 |