22 citations · 43 across the 5 of their papers we have counts for
5 papers
Teichmuller theory of the punctured solenoid
R. C. Penner, Dragomir Saric
The punctured solenoid is an initial object for the category of punctured surfaces with morphisms given by finite covers branched only over the punctures. The (decorated) Teich…
Probing mapping class groups using arcs
R. C. Penner
The action of the mapping class group of a surface on the collection of homotopy classes of disjointly embedded curves or arcs in the surface is discussed here as a tool for unders…
The Structure and Singularities of Arc Complexes
R. C. Penner
A classical combinatorial fact is that the simplicial complex consisting of disjointly embedded chords in a convex planar polygon is a sphere. For any surface F with non-empty boun…
Surfaces, circles, and solenoids
R. C. Penner
Previous work of the author has developed coordinates on bundles over the classical Teichmueller spaces of punctured surfaces and on the space of cosets of the Moebius group in the…
On Quantizing Teichmüller and Thurston theories
L. Chekhov, R. C. Penner
In earlier work, Chekhov and Fock have given a quantization of Teichmüller space as a Poisson manifold, and the current paper first surveys this material adding further mathematica…