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The $C_2$–spectrum
$\mathrm{Tmf}_1(3)$ and its invertible modules
Michael A Hill and Lennart Meier |
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Algebraic & Geometric Topology 17 (2017) 1953–2011
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Abstract |
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We explore the –equivariant spectra and . In particular, we compute their –equivariant Picard groups and the –equivariant Anderson dual of . This implies corresponding results for the fixed-point spectra and . Furthermore, we prove a real Landweber exact functor theorem. |
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Keywords
topological modular forms, real homotopy theory, Picard
group, Anderson duality
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Mathematical Subject Classification 2010
Primary: 55N34, 55P42
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References |
Publication
Received: 3 August 2015
Revised: 4 November 2016
Accepted: 29 November 2016
Published: 3 August 2017
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Authors |
| Michael A Hill | |
| Department of Mathematics University of California, Los Angeles Box 951555 Los Angeles, CA 90095-1555 United States |
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| http://math.ucla.edu/~mikehill | |
| Lennart Meier | |
| Mathematisches Institut University of Bonn Endenicher Allee 60 D-53115 Bonn Germany |
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| http://www.math.uni-bonn.de/people/lmeier/ | |
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