arXiv:1610.07731 Abstract | arXiv Analytics

arXiv:1610.07731 [math.GT]Abstract References Reviews Resources

Spacious knots

Published 2016-10-25Version 1

We show that there are hyperbolic knots in the 3-sphere that Benjamini-Schramm converge to hyperbolic space, meaning that there are hyperbolic knot complements such that the points of large injectivity radius take up the bulk of the volume. This answers a question of Brock and Dunfield.

Comments: 8 pages, 1 figure

Categories: math.GT

Subjects: 57M50, 57M25, 30F40

Keywords: spacious knots, hyperbolic knot complements, large injectivity radius, hyperbolic space, benjamini-schramm converge

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