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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 …
Charlie Frohman's user avatar
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 …
Charlie Frohman's user avatar
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^{ …
Charlie Frohman's user avatar