<s>
In	O
this	O
generality	O
,	O
character	B-Algorithm
varieties	I-Algorithm
are	O
only	O
algebraic	O
sets	O
and	O
are	O
not	O
actual	O
varieties	O
.	O
</s>
<s>
proved	O
that	O
the	O
character	B-Algorithm
variety	I-Algorithm
is	O
;	O
its	O
coordinate	O
ring	O
is	O
isomorphic	O
to	O
the	O
complex	O
polynomial	O
ring	O
in	O
3	O
variables	O
,	O
.	O
</s>
<s>
This	O
construction	O
of	O
the	O
character	B-Algorithm
variety	I-Algorithm
is	O
not	O
necessarily	O
the	O
same	O
as	O
that	O
of	O
Marc	O
Culler	O
and	O
Peter	O
Shalen	O
(	O
generated	O
by	O
evaluations	O
of	O
traces	O
)	O
,	O
although	O
when	O
they	O
do	O
agree	O
,	O
since	O
Claudio	O
Procesi	O
has	O
shown	O
that	O
in	O
this	O
case	O
the	O
ring	O
of	O
invariants	O
is	O
in	O
fact	O
generated	O
by	O
only	O
traces	O
.	O
</s>
<s>
This	O
provides	O
an	O
involutive	O
action	O
on	O
the	O
torus	O
that	O
needs	O
to	O
be	O
accounted	O
for	O
to	O
yield	O
the	O
Culler	O
–	O
Shalen	O
character	B-Algorithm
variety	I-Algorithm
.	O
</s>
<s>
The	O
coordinate	O
ring	O
of	O
the	O
character	B-Algorithm
variety	I-Algorithm
has	O
been	O
related	O
to	O
skein	O
modules	O
in	O
knot	O
theory	O
.	O
</s>
<s>
The	O
skein	O
module	O
is	O
roughly	O
a	O
deformation	O
(	O
or	O
quantization	O
)	O
of	O
the	O
character	B-Algorithm
variety	I-Algorithm
.	O
</s>
