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arxiv: 0802.2575 · v1 · submitted 2008-02-19 · 🧮 math.GT

Pants immersed in hyperbolic 3-manifolds

classification 🧮 math.GT
keywords hyperbolicimmersedmanifoldclaspcomplementcuspcuspeddehn
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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.

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