A cabling formula for the colored Jones polynomial

2008/07/17 by van der Veen, Roland
#57M25 #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.0807.2679

Abstract

We prove an explicit cabling formula for the colored Jones polynomial. As an application we prove the volume conjecture for all zero volume knots and links, i.e. all knots and links that are obtained from the unknot by repeated cabling and connected sum.

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• Knot Cabling and the Degree of the Colored Jones Polynomial II
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