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Expansion joints in hyperbolic manifolds
Alex Elzenaar
Deformations of hyperbolic manifolds through metrics with cone singularities along closed loops were first studied by Thurston as continuous realisations of Dehn fillings. Instead…
math.GT2025
Peripheral subgroups of Kleinian groups
Alex Elzenaar
The conformal boundary of a hyperbolic -manifold is a union of Riemann surfaces. If any of these Riemann surfaces has a nontrivial Teichmüller space, then the hyperbolic met…
math.GT2025
From disc patterns in the plane to character varieties of knot groups
Alex Elzenaar
Motivated by an experimental study of groups generated by reflections in planar patterns of tangent circles, we describe some methods for constructing and studying representation s…