Real orientations of Lubin–Tate spectra
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222_2020_960_ReferencePDF.pdf
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Author(s)
Hahn, Jeremy
Shi, XiaoLin D
Date Issued
March 7, 2020
Publisher
Springer Berlin Heidelberg
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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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.
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DOI of Published Version
https://doi.org/10.1007/s00222-020-00960-z
