Cluster Algebra and Complex Volume of Once-Punctured Torus Bundles and Two-Bridge Knots

Abstract

We propose a method to compute complex volume of 2-bridge link complements. Our construction sheds light on a relationship between cluster variables with coefficients and canonical decompositions of link complements.

30 pages

References in corpus (3)

• Cluster algebras and triangulated surfaces. Part II: Lambda lengths
• Generalized Volume Conjecture and the A-Polynomials -- the Neumann-Zagier Potential Function as a Classical Limit of Quantum Invariant
• Hyperbolic 3-manifolds and Cluster Algebras

Cited by in corpus (5)

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• Superconformal Index and 3d-3d Correspondence for Mapping Cylinder/Torus
• Orthogonal Polynomials in Mathematical Physics
• Check-Operators and Quantum Spectral Curves
• Braiding Operator via Quantum Cluster Algebra