Geometry & Topology Monographs, Vol. 4 (2002),
Invariants of knots and 3-manifolds (Kyoto 2001),
Paper no. 8, pages 103--117.

Knot invariants derived from quandles and racks

Seiichi Kamada

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.

AMS subject classification. Primary: 57M25, 57Q45. Secondary: 55N99, 18G99.

E-print: arXiv:math.GT/0211096

Submitted to GT on 30 November 2001. (Revised 12 February 2002.) Paper accepted 22 July 2002. Paper published 28 July 2002.

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Seiichi Kamada
Dept. of Math., Hiroshima University, Hiroshima 739-8526, JAPAN
Email: kamada@math.sci.hiroshima-u.ac.jp
URL: http://www.math.sci.hiroshima-u.ac.jp/~kamada/index.html
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