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

Access to Document

10.2140/agt.2017.17.1953

C2Accepted author manuscript, 718 KB

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

Cite this

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