Formal groups and stable homotopy of commutative rings

Details Formal groups and stable homotopy of commutative rings Formal groups and stable homotopy of commutative rings

2004-02-23

arxiv.org/abs/math/0402372v1

Geom. Topol. 8(2004) 335-412

Mathematics

Algebraic Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper9.abs.html

Scientific paper

We explain a new relationship between formal group laws and ring spectra in stable homotopy theory. We study a ring spectrum denoted DB which depends on a commutative ring B and is closely related to the topological Andre-Quillen homology of B. We present an explicit construction which to every 1-dimensional and commutative formal group law F over B associates a morphism of ring spectra F_*: HZ --> DB from the Eilenberg-MacLane ring spectrum of the integers. We show that formal group laws account for all such ring spectrum maps, and we identify the space of ring spectrum maps between HZ and DB. That description involves formal group law data and the homotopy units of the ring spectrum DB.

Affiliated with

Also associated with

No associations

Rating

Formal groups and stable homotopy of commutative rings 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 Formal groups and stable homotopy of commutative rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Formal groups and stable homotopy of commutative rings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-349851