1 citations · 4 across the 11 of their papers we have counts for
11 papers
Asymptotic Behavior of Colored HOMFLY Polynomial of Figure Eight Knot
Ka Ho Wong, Thomas Kwok-Keung Au
In this paper we investigate the asymptotic behavior of the colored HOMFLY polynomial of the figure eight knot associated with the symmetric representation. We establish an analogo…
Asymptotic Behavior of Colored Jones polynomial and Turaev-Viro Invariant of figure eight knot
Ka Ho Wong, Thomas Kwok-Keung Au
In this paper we investigate the asymptotic behavior of the colored Jones polynomials and the Turaev-Viro invariants for the figure eight knot. More precisely, we consider the -…
Comparing Corresponding Dihedral Angles on Classical Geometric Simplices
Thomas Kwok-keung Au, Feng Luo, Richard Stong
In this article, we prove a theorem comparing the dihedral angles of simplices in the hyperbolic, spherical and Euclidean geometries.
Images of Harmonic Maps with Symmetry
Thomas Kwok-keung Au, Tom Yau-heng Wan
We show that under certain symmetry, the images of complete harmonic embeddings from the complex plane into the hyperbolic plane is completely determined by the geometric informati…
On the Saddle Point Property of Abresch-Langer curves under the Curve Shortening Flow
Thomas Kwok-keung Au
In the study of the curve shortening flow on general closed curves, Abresch and Langer posed a conjecture that the homothetic curves can be regarded as saddle points between multi-…
Hopf Differentials and the Images of Harmonic Maps
Thomas Kwok-keung Au, Luen-fai Tam, Tom Yau-heng Wan
Non-polynomial growth harmonic maps from the complex plane to the hyperbolic space are studied. Some non-surjectivity results are obtained. Moreover, images of such harmonic maps a…