Vertex F-algebra structures on the complex oriented homology of H-spaces

Jacob Gross, Markus Upmeier

Research output: Contribution to journalArticlepeer-review

Abstract

WegiveatopologicalconstructionofgradedvertexF-algebrasby generalizing Joyce’s vertex algebra construction to complex-oriented homology. Given an H-space X with a BU(1)-action, a choice of K-theory class, and a complex oriented homology theory E, we build a graded vertex F-algebra structure on E∗(X) where F is the formal group law associated with E.
Original languageEnglish
JournalJournal of Pure and Applied Algebra
Publication statusAccepted/In press - 12 Jan 2022

Keywords

  • Vertex algebra
  • formal group law
  • generalized cohomology
  • H-space

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