Totally geodesic boundaries of knot complements

Richard P. Kent IV

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Totally geodesic boundaries of knot complements

Richard P. Kent IV

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Abstract

Given a compact orientable 3-manifold M whose boundary is a hyperbolic surface and a simple closed curve C in its boundary, every knot in M is homotopic to one whose complement admits a complete hyperbolic structure with totally geodesic boundary in which the geodesic representative of C is as small as you like.

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BibTeX RIS

Richard P. Kent IV. 2004-07-21. Totally geodesic boundaries of knot complements. https://arxiv.org/abs/math/0403445

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