3 papers
math.GT2026
Asymptotic behavior of twisted Alexander invariants for hyperbolic knots with at most six crossings
Airi Aso
Let be a hyperbolic knot and let be the -dimensional irreducible representation induced from a lift of its holonomy representation. Motivated by Goda's asymptotic volu…
math.GT2020
Twisted Alexander polynomials of tunnel number one Montesinos knots
Airi Aso
We calculate the twisted Alexander polynomials of all tunnel number one Montesinos knots associated to their -representations and obtain their leading coefficient…
math.GT2018
Twisted Alexander Polynomials of -Pretzel Knots
Airi Aso
We calculate the twisted Alexander polynomials of -pretzel knots associated to their holonomy representations. As a corollary, we obtain new supporting evidences of Du…