Adams operations in cohomotopy

Details Adams operations in cohomotopy Adams operations in cohomotopy

2006-12-12

arxiv.org/abs/math/0612327v1

Mathematics

Algebraic Topology

This has been on my homepage for ages, sorry for posting only now. I've been busy with other things (cf my other post today)

Scientific paper

We study a collection of operations on the cohomotopy of any space, with which it becomes a "beta-ring", an algebraic structure analogous to a lambda-ring. In particular, this ring possesses Adams operations, represented by maps on the infinite loop space of the sphere spectrum. We compute their effect in homotopy on the image of J, and in mod 2 cohomology. The motivation comes from the interpretation of the symmetric group as the general linear group of the "field with one element", which leads to an analogy between cohomotopy and algebraic K-theory. A good deal of this article may be considered as a survey of the theory of beta-rings.

Affiliated with

Also associated with

No associations

Rating

Adams operations in cohomotopy 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 Adams operations in cohomotopy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Adams operations in cohomotopy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-118562