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5
votes
3-manifold with torus boundary with trivial "peripheral ideal"?
There is a gap in the proof that the peripheral ideal is nontrivial in that paper.
Thang Le and Stavros came up with a more algebraic way of definining a closely related
ideal that they could prove …
26
votes
How to motivate the skein relations?
Alexander realized they were useful, then Conway. However, Jones clearly was the one
who really made a big bang with a skein relation. This allowed him to see a connection between the Jones polynomia …
10
votes
Accepted
Trace identities and the Kauffman Bracket skein module
The old answer is that the trace identity you give in 2) is not quite right,
Let $R=\sum_i a_i\otimes b_i$ be the $R$ matrix for $U_q(sl_2)$ and let $t$ be the
$4$th root of $q$, then
$$t tr(XY)+ t^{ …