Title: Surgery groups of the fundamental groups of
hyperplane arrangement complements.
Abstract: Using a recent result of Bartels and Lueck (arXiv:0901.0442) we deduce
that
the Farrell-Jones Fibered Isomorphism conjecture in L-theory is true
for any
group which contains a finite index strongly poly-free normal subgroup,
in
particular, for the Artin full braid groups. As a consequence we
explicitly
compute the surgery groups of the Artin pure braid groups. This is
obtained as
a corollary to a computation of the surgery groups of a more general
class of
groups, namely for the fundamental group of the complement of any
fiber-type
hyperplane arrangement in the complex n-space.