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Hill, Michael A.; Meier, Lennart
The \(C_2\)-spectrum \(\mathrm{Tmf}_1(3)\) and its invertible modules. (English) Zbl 1421.55002
Algebr. Geom. Topol. 17, No. 4, 1953-2011 (2017).
Summary: We explore the \(C_2\)-equivariant spectra \(\operatorname{Tmf}_1(3)\) and \(\operatorname{TMF}_1(3)\). In particular, we compute their \(C_2\)-equivariant Picard groups and the \(C_2\)-equivariant Anderson dual of \(\operatorname{Tmf}_1(3)\). This implies corresponding results for the fixed-point spectra \(\operatorname{TMF}_0(3)\) and \(\operatorname{Tmf}_0(3)\). Furthermore, we prove a real Landweber exact functor theorem.

Cited in 2 Reviews
Cited in 11 Documents
MSC:
55N34 Elliptic cohomology
55P42 Stable homotopy theory, spectra
Keywords:
topological modular forms; real homotopy theory; Picard group; Anderson duality
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\textit{M. A. Hill} and \textit{L. Meier}, Algebr. Geom. Topol. 17, No. 4, 1953--2011 (2017; Zbl 1421.55002)
Full Text: DOI
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