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Knot invariants derived from quandles and racks

Seiichi Kamada

Geometry & Topology Monographs 4 (2002) 103–117

DOI: 10.2140/gtm.2002.4.103

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.

Keywords

quandles, racks, cocycle knot invariants, knot colorings.

Mathematical Subject Classification

Primary: 57M25, 57Q45

Secondary: 18G99, 55N99

References
Publication

Received: 30 November 2001
Revised: 12 February 2002
Accepted: 22 July 2002
Published: 19 September 2002

Authors
Seiichi Kamada
Department of Mathematics
Hiroshima University
Hiroshima 739-8526
Japan