Let be a finite quandle and
an abelian group.
A function
is called a quandle
-cocycle if it satisfies the
-cocycle condition
![]() | |||
![]() |
Let
be a coloring of arcs and regions of a given diagram
of a classical knot
.
Let
be the ordered triple of colors
at a crossing
, see Fig.
of Chapter
.
Let
be a
-cocycle.
Then the weight in this case is defined by
where
is
for positive and negative
crossing, respectively.
Then the (
-)cocycle invariant is defined in a similar way to
-cocycle invariants by
.
The multiset version is defined similarly.