Real orientations of Lubin–Tate spectra
Abstract 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 $$E_n$$ E n...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2021
|
| Online Access: | https://hdl.handle.net/1721.1/131833 |
| _version_ | 1811081815702634496 |
|---|---|
| author | Hahn, Jeremy Shi, XiaoLin D |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Hahn, Jeremy Shi, XiaoLin D |
| author_sort | Hahn, Jeremy |
| collection | MIT |
| description | Abstract
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
$$E_n$$
E
n
with its
$$C_2$$
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
$$C_2$$
C
2
-fixed points. |
| first_indexed | 2024-09-23T11:52:55Z |
| format | Article |
| id | mit-1721.1/131833 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:52:55Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1318332023-09-28T19:33:43Z Real orientations of Lubin–Tate spectra Hahn, Jeremy Shi, XiaoLin D Massachusetts Institute of Technology. Department of Mathematics Abstract 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 $$E_n$$ E n with its $$C_2$$ 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 $$C_2$$ C 2 -fixed points. 2021-09-20T17:30:30Z 2021-09-20T17:30:30Z 2020-03-07 2020-09-24T20:53:40Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131833 en https://doi.org/10.1007/s00222-020-00960-z Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer-Verlag GmbH Germany, part of Springer Nature application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Hahn, Jeremy Shi, XiaoLin D Real orientations of Lubin–Tate spectra |
| title | Real orientations of Lubin–Tate spectra |
| title_full | Real orientations of Lubin–Tate spectra |
| title_fullStr | Real orientations of Lubin–Tate spectra |
| title_full_unstemmed | Real orientations of Lubin–Tate spectra |
| title_short | Real orientations of Lubin–Tate spectra |
| title_sort | real orientations of lubin tate spectra |
| url | https://hdl.handle.net/1721.1/131833 |
| work_keys_str_mv | AT hahnjeremy realorientationsoflubintatespectra AT shixiaolind realorientationsoflubintatespectra |