The smooth Whitehead spectrum of a point at odd regular primes

Details The smooth Whitehead spectrum of a point at odd regular primes The smooth Whitehead spectrum of a point at odd regular primes

2003-04-24

arxiv.org/abs/math/0304384v1

Geom. Topol. 7(2003) 155-184

Mathematics

Algebraic Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol7/paper4.abs.html

Scientific paper

Let p be an odd regular prime, and assume that the Lichtenbaum-Quillen conjecture holds for K(Z[1/p]) at p. Then the p-primary homotopy type of the smooth Whitehead spectrum Wh(*) is described. A suspended copy of the cokernel-of-J spectrum splits off, and the torsion homotopy of the remainder equals the torsion homotopy of the fiber of the restricted S^1-transfer map t: SigmaCP^infty--> S. The homotopy groups of Wh(*) are determined in a range of degrees, and the cohomology of Wh(*) is expressed as an A-module in all degrees, up to an extension. These results have geometric topological interpretations, in terms of spaces of concordances or diffeomorphisms of highly connected, high dimensional compact smooth manifolds.

Affiliated with

Also associated with

No associations

Rating

The smooth Whitehead spectrum of a point at odd regular primes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The smooth Whitehead spectrum of a point at odd regular primes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The smooth Whitehead spectrum of a point at odd regular primes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-519800