46 citations · 76 across the 9 of their papers we have counts for
9 papers
Path Planning for Multiple Tethered Robots Using Topological Braids
Muqing Cao, Kun Cao, Shenghai Yuan +3
Path planning for multiple tethered robots is a challenging problem due to the complex interactions among the cables and the possibility of severe entanglements. Previous works on…
Delambre-Gauss Formulas for Augmented, Right-Angled Hexagons in Hyperbolic 4-Space
Ser Peow Tan, Yan Loi Wong, Ying Zhang
We study the geometry of oriented right-angled hexagons in H^4, the hyperbolic 4-space, via Clifford numbers or quaternions. We show how to augment alternate sides of such a hexago…
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…
Generalized Markoff Maps and McShane's Identity
Ser Peow Tan, Yan Loi Wong, Ying Zhang
We study general representations of the free group on two generators into , and the connection with generalized Markoff maps, following Bowditch. We show that Bowditch's Q…