Add to ORKGAbstract. 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; representations/characters of the one-holed torus group to SL(2,C); and hyperbolic 3 manifolds obtained by hyperbolic Dehn surgery on punctured torus bundles over the circle. These can be regarded as generalizations and variations of McShane’s identity for cusped hyperbolic surfaces, which has found some striking applications in the recent work of Mirzakhani. We discuss some of the methods and techniques used to obtain these identities. 1
AbstractA remarkable result of McShane states that for a punctured torus with a complete finite volu...
peer reviewedLuo and Tan gave a new identity for hyperbolic surfaces with/without geodesic boundary ...
Luo and Tan gave a new identity for hyperbolic surfaces with/without geodesic boundary in terms of d...
ABSTRACT. We survey some of our recent results on length series identities for hyperbolic (cone) sur...
Abstract. We generalize McShane’s identity for the length series of simple closed geodesics on a cus...
Abstract. In [15], Greg McShane demonstrated a remarkable identity for the lengths of simple closed ...
In 1998, Greg McShane demonstrated a remarkable identity for the lengths of simple closed geodesics ...
G. McShane [8] described a remarkable identity concerning the lengths of simple closed geodesics on ...
According to the work by Randol, there exists pairs of closed curves on a surface S for which the ge...
© 2014 Dr. Yi HuangWe give a generalisation of λ-length coordinates for theTeichmüller space of bord...
t has long been known that closed (no boundary), orientable (two-sided) surfaces are classified topo...
Abstract. We give an identity involving sums of functions of lengths of sim-ple closed geodesics, kn...
AbstractWe study the (relative) SL(2,C) character varieties of the one-holed torus and the action of...
Abstract. In this survey, we discuss four classes of identities due principally to Basmajian, McShan...
Abstract. In this note we announce several results concerning the SL(2,C) character variety X of the...
AbstractA remarkable result of McShane states that for a punctured torus with a complete finite volu...
peer reviewedLuo and Tan gave a new identity for hyperbolic surfaces with/without geodesic boundary ...
Luo and Tan gave a new identity for hyperbolic surfaces with/without geodesic boundary in terms of d...
ABSTRACT. We survey some of our recent results on length series identities for hyperbolic (cone) sur...
Abstract. We generalize McShane’s identity for the length series of simple closed geodesics on a cus...
Abstract. In [15], Greg McShane demonstrated a remarkable identity for the lengths of simple closed ...
In 1998, Greg McShane demonstrated a remarkable identity for the lengths of simple closed geodesics ...
G. McShane [8] described a remarkable identity concerning the lengths of simple closed geodesics on ...
According to the work by Randol, there exists pairs of closed curves on a surface S for which the ge...
© 2014 Dr. Yi HuangWe give a generalisation of λ-length coordinates for theTeichmüller space of bord...
t has long been known that closed (no boundary), orientable (two-sided) surfaces are classified topo...
Abstract. We give an identity involving sums of functions of lengths of sim-ple closed geodesics, kn...
AbstractWe study the (relative) SL(2,C) character varieties of the one-holed torus and the action of...
Abstract. In this survey, we discuss four classes of identities due principally to Basmajian, McShan...
Abstract. In this note we announce several results concerning the SL(2,C) character variety X of the...
AbstractA remarkable result of McShane states that for a punctured torus with a complete finite volu...
peer reviewedLuo and Tan gave a new identity for hyperbolic surfaces with/without geodesic boundary ...
Luo and Tan gave a new identity for hyperbolic surfaces with/without geodesic boundary in terms of d...