Higher Order Invariants via Quandles

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Odegaard, Grace
Stickney, Benjamin
Vaughan, Michael
Yim, Kee Shen
Davis, Christopher

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The goal of this poster is to discuss a relationship between quandle theoretic invariants of links, linking number and a higher order analogue of linking number, called the triple linking number. More precisely, we present quandles such that the number of colorings of a link by these quandles recover its linking number and triple linking number.

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Color poster with text, images and figures.

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National Science Foundation; Blugold Fellowship; Mathematical Association of America; University of Wisconsin--Eau Claire Office of Research and Sponsored Programs

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