Year: 2026
Type: article
Abstract: For a hyperbolic knot K $K$ upper K in S 3 $S^3$ upper S cubed , the adjoint hyperbolic torsion polynomial T K Ad ( t ) ∈ C [ t ± 1 ] $\mathcal T^{\mathrm {Ad}}_K(t) \in \mathbb C[t^{\pm 1}]$ script upper T Subscript upper K Superscript upper A d Baseline left parenthesis t right parenthesis element of double struck upper C left bracket t Superscript plus or minus 1 Baseline right bracket is defined as a normalization of the twisted Alexander polynomial of K $K$ upper K associated with the SL 3 ( C ) $\mathrm {SL}_3(\mathbb C)$ upper S upper L 3 left parenthesis double struck upper C right parenthesis -representation obtained by composing the holonomy representation of K $K$ upper K with the adjoint action of SL 2 ( C ) $\mathrm {SL}_2(\mathbb C)$ upper S upper L 2 left parenthesis double struck upper C r
Source: Canadian Mathematical Bulletin
Author: Anh T. Tran
Institution: The University of Texas at Dallas
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
OpenAlex ID: W4415240856
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