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

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2023-08-01 DOI:10.1090/memo/1429

Michael Hill, Xiaolin Shi, Guozhen Wang, Zhouli Xu

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引用次数: 0

Abstract

We completely compute the slice spectral sequence of the C 4 C_4 -spectrum B P ( ( C 4 ) ) ⟨ 2 ⟩ BP^{(\!(C_4)\!)}\langle 2 \rangle . This spectrum provides a model for a height-4 Lubin–Tate theory with a C 4 C_4 -action induced from the Goerss–Hopkins–Miller theorem. In particular, our computation shows that E 4 h C 12 E_4^{hC_{12}} is 384-periodic.

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一个的切片谱序列𝐶₄-等高-4鲁宾-泰特理论

我们完全计算了C4 C_4谱BP（（C4））⟨2⟩BP^{（！（C_4）\！）}\langle2\rangle的切片谱序列。该谱为高度为4的Lubin–Tate理论提供了一个模型，该理论具有由Goerss–Hopkins–Miller定理导出的C4 C_4作用。特别地，我们的计算表明E4hC12E_4^{hC_{12}}是384周期性的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464