45 citations · 112 across the 6 of their papers we have counts for
6 papers
Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces
Jørgen E. Andersen, Leonid O. Chekhov, R. C. Penner +2
We introduce and study the Hermitian matrix model with potential V(x)=x^2/2-stx/(1-tx), which enumerates the number of linear chord diagrams of fixed genus with specified numbers o…
Finite type invariants and fatgraphs
Jorgen Ellegaard Andersen, Alex James Bene, Jean-Baptiste Meilhan +1
We define an invariant of pairs M,G, where M is a 3-manifold obtained by surgery on some framed link in the cylinder , S is a connected surface with at lea…
Groupoid Extensions of Mapping Class Representations for Bordered Surfaces
Jorgen Ellegaard Andersen, Alex James Bene, R. C. Penner
The mapping class group of a surface with one boundary component admits numerous interesting representations including as a group of automorphisms of a free group and as a group of…
A presentation for the baseleaf preserving mapping class group of the punctured solenoid
S. Bonnot, R. C. Penner, D. Saric
We give a presentation for the baseleaf preserving mapping class group of the punctured solenoid . The generators for our presentation were introduced previously, and s…
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…
Arc Operads and Arc Algebras
Ralph M Kaufmann, Muriel Livernet, RC Penner
Several topological and homological operads based on families of projectively weighted arcs in bounded surfaces are introduced and studied. The spaces underlying the basic operad a…