Abstract
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.
Original language | English |
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Pages (from-to) | 2638-2693 |
Number of pages | 56 |
Journal | Compositio Mathematica |
Volume | 159 |
Issue number | 12 |
DOIs | |
Publication status | Published - 1 Dec 2023 |
Keywords
- elliptic cohomology
- equivariant homotopy theory
- orbispaces
- topological modular forms