arXiv:2006.02276 Abstract | arXiv Analytics

arXiv:2006.02276 [math.GT]Abstract References Reviews Resources

Psybrackets, Pseudoknots and Singular Knots

Published 2020-06-03Version 1

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.

Comments: 12 pages

Categories: math.GT, math.QA

Subjects: 57K12

Keywords: singular knots, psybrackets, pseudoknots, reidemeister moves, algebraic structures

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