Some 4-manifold geometry from hyperbolic knots in S^3

preprint2016arXivOpen access

Abstract

A 4-manifold is constructed with some curious metric properties; or maybe it is many 4-manifolds masquerading as one, which would explain why it looks curious. Anyway, knots in the 3-sphere with complete finite volume hyperbolic metrics on their complements play a role in this story.

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