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math.GT2022
Concrete one complex dimensional moduli spaces of hyperbolic manifolds and orbifolds
Alex Elzenaar, Gaven Martin, Jeroen Schillewaert
The Riley slice is arguably the simplest example of a moduli space of Kleinian groups; it is naturally embedded in , and has a natural coordinate system (introduced b…
math.GT2022
The combinatorics of Farey words and their traces
Alex Elzenaar, Gaven Martin, Jeroen Schillewaert
We introduce a family of 3-variable "Farey polynomials" that are closely connected with the geometry and topology of -manifolds and orbifolds as they can be used to produce conc…