Extensions of Quandles and Cocycle Knot Invariants

Details Extensions of Quandles and Cocycle Knot Invariants Extensions of Quandles and Cocycle Knot Invariants

2001-07-03

arxiv.org/abs/math/0107021v1

Mathematics

Geometric Topology

Scientific paper

Quandle cocycles are constructed from extensions of quandles. The theory is
parallel to that of group cohomology and group extensions. An interpretation of
quandle cocycle invariants as obstructions to extending knot colorings is
given, and is extended to links component-wise.

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