Geodesic
A geometrically bounding hyperbolic link complement
Slavich, Leone1
1Dipartimento di Matematica (MAT), Università di Bologna, Piazza di Porta San Donato 5, 40126 Bologna (BO), Italy
Algebraic and Geometric Topology, Tome 15 (2015) no. 2, pp. 1175-1197
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A finite-volume hyperbolic 3–manifold geometrically bounds if it is the geodesic boundary of a finite-volume hyperbolic 4–manifold. We construct here an example of a noncompact, finite-volume hyperbolic 3–manifold that geometrically bounds. The 3–manifold is the complement of a link with eight components, and its volume is roughly equal to 29.311.

DOI : 10.2140/agt.2015.15.1175
Classification : 57M50, 57M25
Keywords: hyperbolic manifolds, geometrically bounding, link complement

Slavich, Leone  1

1 Dipartimento di Matematica (MAT), Università di Bologna, Piazza di Porta San Donato 5, 40126 Bologna (BO), Italy 
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Slavich, Leone. A geometrically bounding hyperbolic link complement. Algebraic and Geometric Topology, Tome 15 (2015) no. 2, pp. 1175-1197. doi: 10.2140/agt.2015.15.1175

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