CV_{g,n}^* is the tropicalization of the complex manifold hT(V_{g,n}) of stable complex handlebodies, with a partial compactification that is a simply connected manifold with simple normal crossings boundary, generalizing Schottky and Outer space relationships to n punctures.
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Handlebodies, Outer space, and tropical geometry
CV_{g,n}^* is the tropicalization of the complex manifold hT(V_{g,n}) of stable complex handlebodies, with a partial compactification that is a simply connected manifold with simple normal crossings boundary, generalizing Schottky and Outer space relationships to n punctures.