6 citations · 6 across the 5 of their papers we have counts for
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Higher -Continued Fractions
Amanda Burcroff, Nicholas Ovenhouse, Ralf Schiffler +1
We introduce a -analog of the higher continued fractions introduced by the last three authors in a previous work (together with Gregg Musiker), which are simultaneously a genera…
Higher Dimer Covers on Snake Graphs
Gregg Musiker, Nicholas Ovenhouse, Ralf Schiffler +1
Snake graphs are a class of planar graphs that are important in the theory of cluster algebras. Indeed, the Laurent expansions of the cluster variables in cluster algebras from sur…
Matrix Formulae for Decorated Super Teichmüller Spaces
Gregg Musiker, Nicholas Ovenhouse, Sylvester W. Zhang
For an arc on a bordered surface with marked points, we associate a holonomy matrix using a product of elements of the supergroup , which defines a flat $\mathrm…
Double Dimer Covers on Snake Graphs from Super Cluster Expansions
Gregg Musiker, Nicholas Ovenhouse, Sylvester W. Zhang
In a recent paper, the authors gave combinatorial formulas for the Laurent expansions of super -lengths in a marked disk, generalizing Schiffler's -path formula. In the prese…
An Expansion Formula for Decorated Super-Teichmüller Spaces
Gregg Musiker, Nicholas Ovenhouse, Sylvester W. Zhang
Motivated by the definition of super-Teichmüller spaces, and Penner-Zeitlin's recent extension of this definition to decorated super-Teichmüller space, as examples of super Riemann…