Lackenby, Marc <br/><br/>
Cusp volumes of hyperbolic alternating knots. 

 - Rio de Janeiro:  IMPA,  2015. 
 - video online 
<br/><br/>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 . 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Matematica.