On a conjecture of Dunfield, Friedl and Jackson

2012/09/19 by Takayuki Morifuji, Morifuji, Takayuki · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT

paper · pdf · doi:10.48550/arxiv.1209.4239

4 pages, 1 figure; final version, to appear in C. R. Acad. Sci. Paris, Ser. I

openalex publication_date 2012/09/19 · arxiv created 2012/10/23 · arxiv updated 2012/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note, we show that the twisted Alexander polynomial associated to a parabolic SL(2,C)-representation detects genus and fibering of the twist knots. As a corollary, a conjecture of Dunfield, Friedl and Jackson is proved for the hyperbolic twist knots.

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• Fibering of double twist knots via the adjoint hyperbolic torsion polynomial

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