279 citations · 306 across the 17 of their papers we have counts for
18 papers
Explicit Lie bracket of closed geodesics on a hyperbolic surface with applications
Moira Chas, Arpan Kabiraj
In this note we develop a tool box of non-Euclidean plane geometry methods that yield a constructive way to define in terms of closed geodesics the Goldman bracket on deformation c…
The Lie bracket of undirected curves on a surface
Moira Chas, Arpan Kabiraj
A Lie bracket defined on the linear span of the free homotopy classes of undirected closed curves was discovered in stages passing through Thurston's earthquake deformations, Wolpe…
Almost simple geodesics on the triply punctured sphere
Moira Chas, Curtis T. McMullen, Anthony Phillips
Every closed hyperbolic geodesic on the triply--punctured sphere has a self--intersection number and a combinatorial leng…
Non-Abelian number theory and the structure of curves on surfaces
Moira Chas
In this note we study numerically the combinatorics of curves and geodesics on the torus with one boundary component. A potential computational difficulty is avoided by counting in…
Self-intersection numbers of length-equivalent curves on surfaces
Moira Chas
Two free homotopy classes of closed curves in an orientable surface with negative Euler characteristic are said to be length equivalent if for any hyperbolic structure on the surfa…
Experiments suggesting that the distribution of the hyperbolic length of closed geodesics sampling by word length is Gaussian
Moira Chas, Keren Li, Bernard Maskit
Each free homotopy class of directed closed curves on a surface with boundary can be described by a cyclic reduced word in the generators of the fundamental group and their inverse…