A p-local Milnor-Moore theorem for loop space homology modulo torsion
by
Jonathan Scott
University of Aberdeen

Let X be a finite, simply connect CW complex. We show that, after localizing at a sufficiently large prime p, the loop space homology algebra of X (modulo p-torsion) is the universal enveloping algebra of the p-local homotopy Lie algebra of X (modulo p-torsion). Ramifications for loop space decompositions are discussed.

Date received: March 28, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafv-93.