###
The quadratic isoperimetric inequality for

mapping tori of
free-group automorphisms

####
Martin R. Bridson and Daniel Groves

#### To be a Memoir of the AMS

####
This is a monograph in 3 parts. The 3 parts have
circulated individually in recent years. This final
version of the manuscript was delivered on 8 Feb 2008.

If $F$ is a finitely generated free group and $\phi$ is an
automorphism, then the Dehn function of $F\rtimes_\phi\Bbb Z$
is either linear or quadratic.