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

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.

References in corpus (4)

• The Seiberg-Witten invariants and 4-manifolds with essential tori
• Non-minimal scalar-flat Kaehler surfaces and parabolic stability
• Self-Dual metrics on non-simply connected 4-manifolds
• Genus 2 closed hyperbolic 3-manifolds of arbitrarily large volume