Hyperbolic Knots

Details Hyperbolic Knots Hyperbolic Knots

2003-09-29

arxiv.org/abs/math/0309466v1

Mathematics

Geometric Topology

16 pages, 12 figures

Scientific paper

In 1978, W. Thurston revolutionized low diemsional topology with his work on
hyperbolic 3-manifolds. In this paper, we discuss what is currently known about
knots in the 3-sphere with hyperbolic complements. Then focus is on geometric
invariants coming out of the hyperbolic structures. This is one of a collection
of articles to appear in the Handbook of Knot Theory.

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