Liminal ${\mathrm{SL}}_2{\mathbb{Z}}_p$-representations and odd-th cyclic covers of genus one two-bridge knots

Honami Sakamoto, Ryoto Tange, Jun Ueki

Let $p$ be a prime number and let $K$ be a genus one two-bridge knot. In the spirit of arithmetic topology, we observe that if $p$ divides the size of the 1st homology group of som…