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

Publication date

2017-08-03

Authors

Hill, Michael A.
Meier, LennartISNI 0000000399564991

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Article
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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.

Keywords

Anderson duality, Picard group, Real homotopy theory, Topological modular forms, Geometry and Topology

Citation

Hill, M A & Meier, L 2017, 'The C 2 -spectrum Tmf 1 (3) and its invertible modules', Algebraic and Geometric Topology, vol. 17, no. 4, pp. 1953-2011. https://doi.org/10.2140/agt.2017.17.1953