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arxiv: math/0407521 · v4 · submitted 2004-07-30 · 🧮 math.GT · math.QA

The Colored Jones Polynomial and the A-Polynomial of Knots

Thang T. Q. Le This is my paper
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keywords coloredjonesknotspolynomiala-polynomialbridgealongalternating
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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.

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Cited by 2 Pith papers

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