Cusp volumes of hyperbolic alternating knots.

Lackenby, Marc

Cusp volumes of hyperbolic alternating knots. - Rio de Janeiro: IMPA, 2015. - video online

I will outline my proof, with Jessica Purcell, that there is a uniform lower bound on the cusp density of hyperbolic alternating knots. The argument uses a range of geometric and topological techniques to establish the existence of many short geodesic arcs in the checkerboard surfaces, when they are placed in pleated form .


Matematica.
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