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arxiv: 2006.02276 · v2 · pith:TSE6BTRVnew · submitted 2020-06-03 · 🧮 math.GT · math.QA

Psybrackets, Pseudoknots and Singular Knots

classification 🧮 math.GT math.QA
keywords knotspseudoknotspsybracketssingularadditionalalgebraiccomputationsdefine
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We introduce algebraic structures known as psybrackets and use them to define invariants of pseudoknots and singular knots and links. Psybrackets are Niebrzydowski tribrackets with additional structure inspired by the Reidemeister moves for pseudoknots and singular knots. Examples and computations are provided.

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