Towers of MU-algebras and the generalized Hopkins-Miller theorem

Details Towers of MU-algebras and the generalized Hopkins-Miller theorem Towers of MU-algebras and the generalized Hopkins-Miller theorem

2002-09-27

arxiv.org/abs/math/0209386v1

Mathematics

Algebraic Topology

Scientific paper

Our results are of three types. First we describe a general procedure of adjoining polynomial variables to $A_\infty$-ring spectra whose coefficient rings satisfy certain restrictions.A host of examples of such spectra is provided by killing a regular ideal in the coefficient ring of MU, the complex cobordism spectrum. Second, we show that the algebraic procedure of adjoining roots of unity carries over in the topological context for such spectra. Third, we use the developed technology to compute the homotopy types of spaces of strictly multiplicative maps between suitable K(n)-localizations of such spectra. This generalizes the famous Hopkins-Miller theorem and gives strengthened versions of various splitting theorems.

Affiliated with

Also associated with

No associations

Rating

Towers of MU-algebras and the generalized Hopkins-Miller theorem 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 Towers of MU-algebras and the generalized Hopkins-Miller theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towers of MU-algebras and the generalized Hopkins-Miller theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-433979