4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.GT2019★ 4 cited
Octahedral developing of knot complement II: Ptolemy coordinates and applications
Hyuk Kim, Seonhwa Kim, Seokbeom Yoon
It is known that a knot complement (minus two points) decomposes into ideal octahedra with respect to a given knot diagram. In this paper, we study the Ptolemy variety for such an…
math.GT2013
Optimistic limits of Kashaev invariants and complex volumes of hyperbolic links
Jinseok Cho, Hyuk Kim, Seonhwa Kim
Yokota suggested an optimistic limit method of the Kashaev invariants of hyperbolic knots and showed it determines the complex volumes of the knots. His method is very effective an…
math.DG2005
A characterization of Cayley Hypersurface and Eastwood and Ezhov conjecture
Yuncherl Choi, Hyuk Kim
Eastwood and Ezhov generalized the Cayley surface to the Cayley hypersurface in each dimension, proved some characteristic properties of the Cayley hypersurface and conjectured tha…