A Survey of Quandle Ideas

Details A Survey of Quandle Ideas A Survey of Quandle Ideas

2010-02-23

arxiv.org/abs/1002.4429v2

Mathematics

Geometric Topology

Submitted to conference proceedings; embarrassing misspellings of various names corrected. Many apologies and thanks to reader

Scientific paper

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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