4 papers · 1 filter
An explicit formula for the -polynomial of the knot with Conway's notation
Ji-Young Ham, Joongul Lee
An explicit formula for the -polynomial of the knot having Conway's notation is computed up to repeated factors. Our polynomial contains exactly the same irreducible f…
Remarks on the Liechti-Strenner's examples having small dilatations
Ji-Young Ham, Joongul Lee
We show that the Liechti-Strenner's example for the closed nonorientable surface in \cite{LiechtiStrenner18} minimizes the dilatation within the class of pseudo-Anosov homeomorphis…
Golden ratio on nonorientable surfaces
Ji-Young Ham, Joongul Lee
On each nonorientable surface of odd genus , we give a mapping class whose dilatation on an invariant subsurface is the golden ratio.
On the volume and the Chern-Simons invariant for the hyperbolic alternating knot orbifolds
Ji-Young Ham, Joongul Lee
We extend the Neumann's methods and give the explicit formulae for the volume and the Chern-Simons invariant for hyperbolic alternating knot orbifolds.