Knot invariants derived from quandles and racks

By S. Kamada. 2002

71 citations recorded by the source corpus.

The homology and cohomology of quandles and racks are used in knot theory: given a nite quandle and a cocycle, we can construct a knot invariant. This is a quick introductory survey to the invariants of knots derived from quandles and racks. AMS Classication 57M25, 57Q45; 55N99, 18G99

Subfields: Anatomy, Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/3b3257dd3a0ece9408c793682cdf7aacc7fa4ad5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Anatomy

1. Victoria Lebed
2. Atsushi Ishii

In Theoretical Computer Science

1. Victoria Lebed
2. Atsushi Ishii

Citations in the corpus

• Topological Quandles and Invariants of Links (2005, unknown): “1”
• The structure of medial quandles (2014, background): “See [1, 13] for an introduction to the algebraic theory of quandles, and [4, 16] for a knot-theoretical perspective.”
• Moves and invariants for knotted handlebodies (2008, background): “E3 , E4 Figure 6 A kei [5; 6; 14] is a nonempty set X with a binary operation .”
• Homologies of Algebraic Structures via Braidings and Quantum Shuffles (2012, background): “See for instance the seminal paper [15], or [16] for a very readable introduction.”