Title: Surgery groups of fundamental groups of
hyperplane arrangement complements.
Abstract: In this short article we explicitly compute
the surgery L-groups, after inverting 2, of the fundamental
groups of a large class
of complex hyperplane arrangement complements in the complex
This result is obtained using the result from `The isomorphism conjecture in
L-theory: poly-free groups and one-relator groups' that the
Farrell-Jones Fibered Isomorphism Conjecture in L-theory for the
relevant groups is true and then using the combinatorial data
the hyperplane arrangement and some generalized homology theory
computation. In particular this yields an explicit
computation of the surgery groups, modulo 2-torsion, of the
classical pure braid groups.
The full article will be available soon.
Updated March 22, 2007.