Some 4-manifold geometry from hyperbolic knots in S^3
Differential Geometry
2016-02-05 v1 Geometric Topology
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.
Cite
@article{arxiv.1602.01687,
title = {Some 4-manifold geometry from hyperbolic knots in S^3},
author = {Clifford Henry Taubes},
journal= {arXiv preprint arXiv:1602.01687},
year = {2016}
}