The Mitchell-Richter filtration of loops on
Stiefel manifolds stably splits
Gregory Arone
University of Chicago
arone@math.uchicago.edu
We prove that the Mitchell-Richter filtration of the space of loops on
complex Stiefel manifolds stably splits. The result is obtained as
a special case of a more general splitting theorem. Another special
case is H. Miller's splitting of Stiefel manifolds. The proof uses the
theory of orthogonal calculus developed by M. Weiss. The argument is
inspired by an old argument of Goodwillie for a different, but
related, general splitting result.