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.
Bibliographical noteThe 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