Title: K-theory of mapping class groups III: Odd torsion
This is the long-awaited calculation of the odd-torsion in K^\ast(B\Gamma^n)
(mapping-class groups for punctured spheres). The size and location of the
torsion (it's all in K^1) is completely calculated, together with where it
comes from and why; and there is information about the module structure over
K^\ast(BSO(3)). Methods are: (a) the description of B\Gamma in terms of
function spaces due to Bodigheimer,Cohen and Peim and (b) author's earlier
calculation of the structure of K^\ast mod torsion (Math.Z. 218, 611-634).
This is my last communication on this subject; if anyone wants to find the 2-torsion, good luck to them.
Author: Luke Hodgkin
Address: King's College, Strand, London WC2R 2LS, UK.