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

Jacob Gross, Markus Upmeier* (Corresponding Author)

*Corresponding author for this work

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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
Issue number8
Early online date24 Jan 2022
Publication statusPublished - Aug 2022

Bibliographical note

The authors thank Dominic Joyce for many discussions and suggestions. They also thank Mikhail Kapranov, Kobi Kremnitzer, Sven Meinhardt, and Konrad Voelkel for helpful conversations.


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


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