A survey of hyperbolic knot theory
arXiv:1708.07201 · doi:10.1007/978-3-030-16031-9_1
Abstract
We survey some tools and techniques for determining geometric properties of a link complement from a link diagram. In particular, we survey the tools used to estimate geometric invariants in terms of basic diagrammatic link invariants. We focus on determining when a link is hyperbolic, estimating its volume, and bounding its cusp shape and cusp area. We give sample applications and state some open questions and conjectures.
20 pages, 5 figures
References in corpus (8)
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