The Kauffman bracket skein module of the connected sum of two genus-one handlebodies is determined over Z[q^{±1}].
The Colored Jones Polynomial and the A-Polynomial of Knots
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We study relationships between the colored Jones polynomial and the A-polynomial of a knot. We establish for a large class of 2-bridge knots the AJ conjecture (of Garoufalidis) that relates the colored Jones polynomial and the A-polynomial. Along the way we also calculate the Kauffman bracket skein module of all 2-bridge knots. Some properties of the colored Jones polynomial of alternating knots are established.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Alexander polynomials appear in two opposite roles in two Kashaev phases of Chern-Simons theory due to co-existing branches in the quasiclassical limit with non-trivial versus vanishing classical actions.
citing papers explorer
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Kauffman bracket skein module of the connected sum of two solid tori
The Kauffman bracket skein module of the connected sum of two genus-one handlebodies is determined over Z[q^{±1}].
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Two roles of Alexander in two Kashaev phases
Alexander polynomials appear in two opposite roles in two Kashaev phases of Chern-Simons theory due to co-existing branches in the quasiclassical limit with non-trivial versus vanishing classical actions.