We show that an immersed thrice-punctured sphere in a cusped orientable hyperbolic 3-manifold is either embedded or has a single clasp in a manifold obtained by hyperbolic Dehn filling on a cusp of the Whitehead link complement.
Rigidity in hyperbolic Dehn filling
Tropical varieties associated to ideal triangulations: The Whitehead link complement
Spherical CR uniformization of Dehn surgeries of the Whitehead link complement
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