Hyperbolic Brunnian links

Abstract

We present practical methods to show a Brunnian link is hyperbolic. The methods, belonging to geometric topology, are based on observation, worked by hand and generally applicable. Typical examples illustrate their efficiency. We thus determine hyperbolicity for all of the known Brunnian links in literatures except two series. Especially, we discover 6 infinite series of hyperbolic Brunnian links.