Knot invariants derived from quandles and racks

Preprint English OPEN
Kamada, Seiichi;
  • Subject: 57M25, 57Q45, 55N99, 18G99 | Mathematics - Geometric Topology
    arxiv: Mathematics::K-Theory and Homology | Mathematics::Geometric Topology | Mathematics::Quantum Algebra | Mathematics::Algebraic Topology | Computer Science::Robotics

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.
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