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Psyquandle Coloring Quivers

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arxiv 2107.05668 v1 pith:3WYM3GJX submitted 2021-07-12 math.GT math.QA

Jose Ceniceros , Anthony Christiana , Sam Nelson This is my paper · ORCID
classification math.GTmath.QA
keywords coloringquiversknotsin-degreeinvariantspolynomialpseudoknotspsyquandle
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We enhance the psyquandle counting invariant for singular knots and pseudoknots using quivers analogously to quandle coloring quivers. This enables us to extend the in-degree polynomial invariants from quandle coloring quiver theory to the case of singular knots and pseudoknots. As a side effect we obtain biquandle coloring quivers and in-degree polynomial invariants for classical and virtual knots and links.

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  1. Psyquandle Brackets

    math.GT 2025-08 conditional novelty 6.0 of 10

    Psyquandle brackets are new state-sum invariants for singular knots and pseudoknots, built from a four-map skein algebra on psyquandle colorings.

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