Models of Lubin-Tate spectra via Real bordism theory

M. Zeng; Agnes Beaudry; Michael Hill; XiaoLin Danny Shi

Models of Lubin-Tate spectra via Real bordism theory

M. Zeng, Agnes Beaudry, Michael Hill, XiaoLin Danny Shi

Research output: Contribution to journal › Article › Academic

Abstract

We study certain formal group laws equipped with an action of the cyclic group of order a power of 2. We construct C2n-equivariant Real oriented models of Lubin-Tate spectra Eh at heights h=2n−1m and give explicit formulas of the C2n-action on their coefficient rings. Our construction utilizes equivariant formal group laws associated with the norms of the Real bordism theory MUR, and our work examines the height of the formal group laws of the Hill-Hopkins-Ravenel norms of MUR.

Original language	English
Number of pages	45
Journal	arXiv
Publication status	Published - 22 Jan 2020

Keywords

Chromatic homotopy
Equivariant homotopy
Formal groups

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https://arxiv.org/pdf/2001.08295.pdf

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title = "Models of Lubin-Tate spectra via Real bordism theory",

abstract = "We study certain formal group laws equipped with an action of the cyclic group of order a power of 2. We construct C2n-equivariant Real oriented models of Lubin-Tate spectra Eh at heights h=2n−1m and give explicit formulas of the C2n-action on their coefficient rings. Our construction utilizes equivariant formal group laws associated with the norms of the Real bordism theory MUR, and our work examines the height of the formal group laws of the Hill-Hopkins-Ravenel norms of MUR.",

keywords = "Chromatic homotopy, Equivariant homotopy, Formal groups",

author = "M. Zeng and Agnes Beaudry and Michael Hill and Shi, {XiaoLin Danny}",

year = "2020",

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language = "English",

journal = "arXiv",

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TY - JOUR

T1 - Models of Lubin-Tate spectra via Real bordism theory

AU - Zeng, M.

AU - Beaudry, Agnes

AU - Hill, Michael

AU - Shi, XiaoLin Danny

PY - 2020/1/22

Y1 - 2020/1/22

N2 - We study certain formal group laws equipped with an action of the cyclic group of order a power of 2. We construct C2n-equivariant Real oriented models of Lubin-Tate spectra Eh at heights h=2n−1m and give explicit formulas of the C2n-action on their coefficient rings. Our construction utilizes equivariant formal group laws associated with the norms of the Real bordism theory MUR, and our work examines the height of the formal group laws of the Hill-Hopkins-Ravenel norms of MUR.

AB - We study certain formal group laws equipped with an action of the cyclic group of order a power of 2. We construct C2n-equivariant Real oriented models of Lubin-Tate spectra Eh at heights h=2n−1m and give explicit formulas of the C2n-action on their coefficient rings. Our construction utilizes equivariant formal group laws associated with the norms of the Real bordism theory MUR, and our work examines the height of the formal group laws of the Hill-Hopkins-Ravenel norms of MUR.

KW - Chromatic homotopy

KW - Equivariant homotopy

KW - Formal groups

M3 - Article

JO - arXiv

JF - arXiv

ER -

Models of Lubin-Tate spectra via Real bordism theory

Abstract

Keywords

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