A functor-valued extension of knot quandles

Details A functor-valued extension of knot quandles A functor-valued extension of knot quandles

2010-06-10

arxiv.org/abs/1006.1949v2

Mathematics

Geometric Topology

17 pages, 7 figures, typos and inconsintent notations are corrected

Scientific paper

For an oriented knot $K$, we construct a functor from the category of pointed
quandles to the category of quandles in three different ways. We also extend
the quandle cocycle invariants of knots by using these quandle-valued invariant
of knots, and study their properties.

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