The C2-spectrum Tmf1(3) and its invertible modules

Michael A. Hill; Lennart Meier

doi:10.2140/agt.2017.17.1953

The C₂-spectrum Tmf₁(3) and its invertible modules

Michael A. Hill
, Lennart Meier

University of California at Los Angeles

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

Abstract

We explore the C₂-equivariant spectra Tmf₁(3)and TMF₁(3). In particular, we compute their C₂-equivariant Picard groups and the C₂-equivariant Anderson dual of Tmf₁(3). This implies corresponding results for the fixed-point spectra TMF₀(3)and Tmf₀(3). Furthermore, we prove a real Landweber exact functor theorem.

Original language	English
Pages (from-to)	1953-2011
Number of pages	59
Journal	Algebraic and Geometric Topology
Volume	17
Issue number	4
DOIs	https://doi.org/10.2140/agt.2017.17.1953
Publication status	Published - 3 Aug 2017

Keywords

Anderson duality
Picard group
Real homotopy theory
Topological modular forms

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10.2140/agt.2017.17.1953

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https://arxiv.org/pdf/1507.08115.pdf

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AB - We explore the C2-equivariant spectra Tmf1(3)and TMF1(3). In particular, we compute their C2-equivariant Picard groups and the C2-equivariant Anderson dual of Tmf1(3). This implies corresponding results for the fixed-point spectra TMF0(3)and Tmf0(3). Furthermore, we prove a real Landweber exact functor theorem.

KW - Anderson duality

KW - Picard group

KW - Real homotopy theory

KW - Topological modular forms

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The C₂-spectrum Tmf₁(3) and its invertible modules

Abstract

Keywords

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