Title: Localization of Andre--Quillen--Goodwillie towers, and the
periodic homology of infinite loopspaces
Author: Nicholas J. Kuhn
AMS classification numbers: 55P43, 55P47, 55N20, 18G55
Address: Department of Mathematics, University of Virginia,
Charlottesville, VA 22903
email: njk4x@virginia.edu
abstract:
Let K(n) be the nth Morava K--theory at a prime p. This paper is a
thorough study of questions like the following: to what extent does the
K(n)--localization, or the K(n)--homology, of a spectrum X determine the
K(n)--homology of its 0th space X_0? Our methods combine
techniques from modern homotopical algebra with chromatic homotopy. In
particular, we use the telescopic functors of Bousfield and the author
(dependent on the Nilpotence Theorem of Devanitz, Hopkins, and Smith),
as well as Topological Andre--Quillen Homology and Goodwillie calculus in
nonconnective settings.