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math.GT2018
Combinatorics of -Farey graphs
Jonah Gaster, Miguel Lopez, Emily Rexer +2
With an eye towards studying curve systems on low-complexity surfaces, we introduce and analyze the -Farey graphs and , two natural va…
math.GR2018
Bicollapsibility and groups with torsion
Jonah Gaster, Daniel T. Wise
We introduce the notion of a bicollapsible 2-complex. This allows us to generalize the hyperbolicity of one-relator groups with torsion to a broader class of groups with presentati…
math.GT2018
Computing discrete equivariant harmonic maps
Jonah Gaster, Brice Loustau, Léonard Monsaingeon
We present effective methods to compute equivariant harmonic maps from the universal cover of a surface into a nonpositively curved space. By discretizing the theory appropriately,…