The Goodwillie tower for S^1 and Kuhn's theorem
Algebraic Topology
2014-10-01 v2
Abstract
We analyze the homological behavior of the attaching maps in the 2-local Goodwillie tower of the identity evaluated at S^1. We show that they exhibit the same homological behavior as the James-Hopf maps used by N. Kuhn to prove the 2-primary Whitehead conjecture. We use this to prove a calculus form of the Whitehead conjecture: the Whitehead sequence is a contracting homotopy for the Goodwillie tower of S^1 at the prime 2.
Keywords
Cite
@article{arxiv.1012.0810,
title = {The Goodwillie tower for S^1 and Kuhn's theorem},
author = {Mark Behrens},
journal= {arXiv preprint arXiv:1012.0810},
year = {2014}
}
Comments
v2: 23 pages, clarified exposition in many parts, to appear in AGT