On equivariant topological modular forms

David Gepner, Lennart Meier

Research output: Contribution to journalArticleAcademicpeer-review

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 languageEnglish
Pages (from-to)2638-2693
Number of pages56
JournalCompositio Mathematica
Volume159
Issue number12
DOIs
Publication statusPublished - 1 Dec 2023

Keywords

  • elliptic cohomology
  • equivariant homotopy theory
  • orbispaces
  • topological modular forms

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