22 citations · 46 across the 7 of their papers we have counts for
Showing 2004Show all
3 papers · 1 filter
math.GT2004★ 6 cited
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…
math.GT2004
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…
math.AG2004★ 22 cited
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…