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arXiv · 1507.08115

The $C_2$-spectrum $Tmf_1(3)$ and its invertible modules

Michael A. Hill·Lennart Meier
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Abstract

We explore the $C_2$-equivariant spectra $Tmf_1(3)$ and $TMF_1(3)$. In particular, we compute their $C_2$-equivariant Picard groups and the $C_2$-equivariant Anderson dual of $Tmf_1(3)$. This implies corresponding results for the fixed point spectra $TMF_0(3)$ and $Tmf_0(3)$. Furthermore, we prove a Real Landweber exact functor theorem.

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BibTeXRIS

Michael A. Hill, Lennart Meier. 2015-07-29. The $C_2$-spectrum $Tmf_1(3)$ and its invertible modules. https://doi.org/10.2140/agt.2017.17.1953

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