352 citations
- Centre National de la Recherche ScientifiqueFR14 papers
- Seoul National UniversityKR12 papers
- Université Paris-SaclayFR11 papers
- Imperial College LondonGB9 papers
- Korea Institute for Advanced StudyKR7 papers
- Laboratoire d'Informatique pour la Mécanique et les Sciences de l'IngénieurFR7 papers
- Laboratoire Interdisciplinaire des Sciences du NumériqueFR7 papers
- University of CambridgeGB4 papers
- Yonsei UniversityKR4 papers
- University of OxfordGB3 papers
- Athinoula A. Martinos Center for Biomedical ImagingUS2 papers
- Brown UniversityUS2 papers
7 papers · 1 filter
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…
On the volume and the Chern-Simons invariant for the -bridge knot orbifolds
Ji-Young Ham, Joongul Lee, Alexander Mednykh +1
We extend some part of the unpublished paper written by Mednykh and Rasskazov. Using the approach indicated in this paper we derive the Riley-Mednykh polynomial for some family of…
Explicit formulae for Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation
Ji-young Ham, Joongul Lee
We calculate the Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation using the Schläfli formula for the generalized Chern-Simons funct…
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 with Conway's notation is obtained from the explicit Riley-Mednykh polynomial of it.
The volume of hyperbolic cone-manifolds of the knot with Conway's notation
Ji-Young Ham, Joongul Lee
Let be the family of two bridge knots of slope . We calculate the volumes of the cone-manifolds using the Schläfli formula. We present the conc…
Explicit formulae for Chern-Simons invariants of the twist knot orbifolds and Edge polynomials of twist knots
Ji-young Ham, Joongul Lee
We calculate the Chern-Simons invariants of the twist knot orbifolds using the Schläfli formula for the generalized Chern-Simons function on the family of the twist knot cone-manif…