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

Kazuhiro Hikami; Rei Inoue

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

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arxiv 1212.6042 v3 pith:7AASAWZL submitted 2012-12-25 math.GT math-phmath.MP

Kazuhiro Hikami , Rei Inoue This is my paper · ORCID

classification math.GTmath-phmath.MP

keywords clustercomplementscomplexlinkvolumealgebrabridgebundles

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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.

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Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$
hep-th 2026-05 unverdicted novelty 6.0 of 10

Authors propose shaded A-polynomials A_a(ℓ_b, m_c) for SU(N) via CG chords from huge representations of U_q(su_N) in the classical limit, with examples for knots 3_1, 4_1, 5_1 in su_3.

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