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Some 4-manifold geometry from hyperbolic knots in S3

2016/02/04 by Taubes, Clifford Henry
#53C25 #57R57 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1602.01687

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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