Proof of Volume Conjecture for twist knots

2020/12/10 by Abe, Sukuse
#Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2012.05441

Abstract

We prove the volume conjecture for any twist knots by using an equivalence relation, complex analysis, analytic continuation, and function of several complex variables on the basis of colored Jones polynomials.

Related

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• An Introduction to the Volume Conjecture
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• Complexified tetrahedrons, fundamental groups, and volume conjecture for double twist knots