Knot invariants derived from quandles and racks

2002/11/05 by Seiichi Kamada · 1 citation
Mathematics · #math.GT #msc:57M25 #msc:57Q45 #msc:55N99 #msc:18G99

paper · pdf

published as Geom. Topol. Monogr. 4 (2002) 103-117 · Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper8.abs.html

arxiv created 2002/11/05 · arxiv updated 2009/11/30

Abstract

The homology and cohomology of quandles and racks are used in knot theory: given a finite 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.

Cited by

• Structure groups and second homology groups of linear Alexander quandles

Related

• Quandle Homology Theory and Cocycle Knot Invariants
• Extensions of Quandles and Cocycle Knot Invariants
• N-Degeneracy in rack homology and link invariants
• Link invariants from finite racks
• Homotopical interpretation of link invariants from finite quandles