2018/03/17 by Airi Aso, Aso, Airi
Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1803.06470
openalex publication_date 2018/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We calculate the twisted Alexander polynomials of (-2,3,2n+1)-pretzel knots associated to their holonomy representations. As a corollary, we obtain new supporting evidences of Dunfield, Friedl and Jackson's conjecture, that is, the twisted Alexander polynomials of hyperbolic knots associated to their holonomy representations determine the genus and fiberedness of the knots.