Reorienting quandle orbits

Abstract Motivated by knot theory, it is natural to define the orienta-tion-reversal of a quandle orbit by inverting all the translations given by elements of that orbit. In this short note we observe that this natural notion is unsuited to medial quandles.

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Publication Details

Journal
Algebra Universalis
Published
2025-03-25
DOI
https://doi.org/10.1007/s00012-025-00883-x
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

Reorienting quandle orbits

Lorenzo Traldi
Algebra Universalis
Geometric and Algebraic Topology
article

Reorienting quandle orbits

Lorenzo Traldi
article en

Abstract

Abstract Motivated by knot theory, it is natural to define the orienta-tion-reversal of a quandle orbit by inverting all the translations given by elements of that orbit. In this short note we observe that this natural notion is unsuited to medial quandles.

Algebra UniversalisVol. 86(2)
Lafayette College (US)
Openalex Percentile: Top 90%
Geometric and Algebraic Topology
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Reorienting quandle orbits — Lorenzo Traldi · Algebra Universalis (2025) | TGRS Research Map | TGRS