46 citations · 78 across the 10 of their papers we have counts for
10 papers
Length minima for an infinite family of filling closed curves on a one-holed torus
Zhongzi Wang, Ying Zhang
We explicitly find the minima as well as the minimum points of the geodesic length functions for the family of filling (hence non-simple) closed curves, (), on a c…
Polynomial automorphisms of C^n preserving the Markoff-Hurwitz polynomial
Hengnan Hu, Ser Peow Tan, Ying Zhang
We study the action of the group of polynomial automorphisms of C^n (n>2) which preserve the Markoff-Hurwitz polynomial H(x):= x_1^2 + x_2^2 + ... + x_n^2 - x_1 x_2 ... x_n. Our ma…
A new identity for SL(2,C)-characters of the once punctured torus group
Hengnan Hu, Ser Peow Tan, Ying Zhang
We obtain new variations of the original McShane identity for those SL(2,C)-representations of the once punctured torus group which satisfy the Bowditch conditions, and also for th…
A survey of length series identities for surfaces, % 3-manifolds and representation varieties
Ser Peow Tan, Yan Loi Wong, Ying Zhang
We survey some of our recent results on length series identities for hyperbolic (cone) surfaces, possibly with cusps and/or boundary geodesics; classical Schottky groups; represent…
End Invariants for $\SL(2,C)$ characters of the one-holed torus
Ser Peow Tan, Yan Loi Wong, Ying Zhang
We define and study the set of end invariants of a $\SL(2,C)$ character of the one-holed torus . We show that the set is the entire proje…
The SL(2,C) character variety of the one-holed torus
Ser Peow Tan, Yan Loi Wong, Ying Zhang
In this note we announce several results concerning the SL(2,C) character variety of the one-holed torus. We give a description of the largest open subset ${\mathcal…