Real orientations of Lubin–Tate spectra
We show that Lubin–Tate spectra at the prime 2 are Real oriented and Real Landweber exact. The proof is by application of the Goerss–Hopkins–Miller theorem to algebras with involution. For each height n , we compute the entire homotopy fixed point spectral sequence for E n with its C 2 -action given...
Saved in:
| Published in: | Inventiones mathematicae 2020-09, Vol.221 (3), p.731-776 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | eng |
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We show that Lubin–Tate spectra at the prime 2 are Real oriented and Real Landweber exact. The proof is by application of the Goerss–Hopkins–Miller theorem to algebras with involution. For each height
n
, we compute the entire homotopy fixed point spectral sequence for
E
n
with its
C
2
-action given by the formal inverse. We study, as the height varies, the Hurewicz images of the stable homotopy groups of spheres in the homotopy of these
C
2
-fixed points. |
|---|---|
| ISSN: | 0020-9910 1432-1297 |