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

Jacob Gross, Markus Upmeier* (Corresponding Author)

*Corresponding author for this work

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
Article number107019
Number of pages13
JournalJournal of Pure and Applied Algebra
Volume226
Issue number8
Early online date24 Jan 2022
DOIs
Publication statusPublished - Aug 2022

Keywords

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

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