A Survey of Quandle Ideas

J. Scott Carter (University of South Alabama)

A Survey of Quandle Ideas

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arxiv 1002.4429 v2 pith:QXZYYBEM submitted 2010-02-23 math.GT math.AT

J. Scott Carter (University of South Alabama) This is my paper · ORCID

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keywords applicationsfoundquandlequandlestheoryadditionalgebraicallyareas

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This article surveys many aspects of the theory of quandles which algebraically encode the Reidemeister moves. In addition to knot theory, quandles have found applications in other areas which are only mentioned in passing here. The main purpose is to give a short introduction to the subject and a guide to the applications that have been found thus far for quandle cocycle invariants.

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The kei word metric on the transvection group and its unit ball
math.SG 2026-05 unverdicted novelty 5.0 of 10

Defines a kei-based bi-invariant word metric on the transvection group and analyzes its triviality in examples from group theory, dynamics, and symplectic geometry.

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