On equivariant topological modular forms

On equivariant topological modular forms

Following ideas of Lurie, we give a general construction of equivariant elliptic cohomology without restriction to characteristic zero. Specializing to the universal elliptic curve we obtain, in particular, equivariant spectra of topological modular forms. We compute the fixed points of these spectr...

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Veröffentlicht in:Compositio mathematica 2023-12, Vol.159 (12), p.2638-2693
Hauptverfasser: Gepner, David, Meier, Lennart
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analytic functions
Construction
Curves
Geometry
Homology
Lie groups
Spectra
Topology
Toruses
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Zusammenfassung:Following ideas of Lurie, we give a general construction of equivariant elliptic cohomology without restriction to characteristic zero. Specializing to the universal elliptic curve we obtain, in particular, equivariant spectra of topological modular forms. We compute the fixed points of these spectra for the circle group and more generally for tori.
ISSN:0010-437X
1570-5846
DOI:10.1112/S0010437X23007509