The Slice Spectral Sequence of a C4-Equivariant Height-4 Lubin-Tate Theory

Michael A. Hill; Xiao Lin Danny Shi; Guozhen Wang; Zhouli Xu

doi:10.1090/memo/1429

The Slice Spectral Sequence of a C₄-Equivariant Height-4 Lubin-Tate Theory

Michael A. Hill, Xiao Lin Danny Shi, Guozhen Wang, Zhouli Xu

Research output: Contribution to journal › Article › peer-review

Abstract

We completely compute the slice spectral sequence of the C₄-spectrum BP^((C₄))〈2〉. This spectrum provides a model for a height-4 Lubin-Tate theory with a C₄-action induced from the Goerss-Hopkins-Miller theorem. In particular, our computation shows that E^hC₁₂₄ is 384-periodic.

Original language	English (US)
Pages (from-to)	1-132
Number of pages	132
Journal	Memoirs of the American Mathematical Society
Volume	288
Issue number	1429
DOIs	https://doi.org/10.1090/memo/1429
State	Published - 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023 American Mathematical Society.

Publisher link

10.1090/memo/1429

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abstract = "We completely compute the slice spectral sequence of the C4-spectrum BP((C4))〈2〉. This spectrum provides a model for a height-4 Lubin-Tate theory with a C4-action induced from the Goerss-Hopkins-Miller theorem. In particular, our computation shows that EhC124 is 384-periodic.",

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