A functor-valued extension of knot quandles

作者：Ito Tetsuya^*

来源：Journal of the Mathematical Society of Japan, 2012, 64(4): 1147-1168.

DOI：10.2969/jmsj/06441147

• quandle
• knot
• quandle homology
• cocycle invariant
• quandle invariant functor

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

• 出版日期2012-10