Bibliographic Details
| Title: |
Morava Hopf algebras and spaces K(n) equivalent to finite Postnikov systems |
| Authors: |
Michael J. Hopkins, Douglas C. Ravenel Y, W. Stephen Wilson |
| Contributors: |
The Pennsylvania State University CiteSeerX Archives |
| Superior Title: |
http://hopf.math.purdue.edu/Hopkins-Ravenel-Wilson/moravaktheory.pdf. |
| Publisher Information: |
American Mathematical Society |
| Publication Year: |
1998 |
| Collection: |
CiteSeerX |
| Subject Terms: |
Contents |
| Description: |
We have three somewhat independent sets of results. Our rst results are a mixed blessing. We show that Morava K-theories don’t see k-invariants for homotopy commutative H-spaces which are nite Postnikov systems, i.e. for those with only a nite number of homo-topy groups. Since k-invariants are what holds the space together, this suggests that Morava K-theories will not be of much use around such spaces. On the other hand, this gives us the Morava K-theory of a wide class of spaces which is bound to be useful. In particular, this work allows the recent work in [RWY] to be applied to compute the Brown-Peterson cohomology of all such spaces. Their Brown-Peterson cohomology turns out to be all in even degrees (as is their Morava K-theory) and flat as a BP module for the category of nitely presented BP (BP) modules. Thus these examples have extremely nice Brown-Peterson cohomology which is as good as a Hopf algebra. Partially supported by the National Science Foundation yPartially supported by the National Science Foundation |
| Document Type: |
text |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.544.8933; http://hopf.math.purdue.edu/Hopkins-Ravenel-Wilson/moravaktheory.pdf |
| Availability: |
http://hopf.math.purdue.edu/Hopkins-Ravenel-Wilson/moravaktheory.pdf |
| Rights: |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: |
edsbas.F03B919E |
| Database: |
BASE |
