activity
20052025
most citedExplicit formulae for Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation

7 citations · 18 across the 13 of their papers we have counts for

collaborators

14 papers

math.DS2025

Maximal dilatation on nonorientable surfaces

Ji-Young Ham, Joongul Lee

On each nonorientable surface of even genus , we show that the Liechti-Strenner's polynomial in~\cite{LiechtiStrenner18} gives a maximal dilatation among pseudo-Anosov di…

math.GT2022

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…

math.GT2020

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…

math.GT2019

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.

math.GT2018

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.

math.GT2017

Explicit formulae for Chern-Simons invariants of the hyperbolic knot orbifolds

Ji-Young Ham, Joongul Lee

We calculate the Chern-Simons invariants of the hyperbolic double twist knot orbifolds using the Schläfli formula for the generalized Chern-Simons function on the family of cone-ma…