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.
|Journal||Journal of Pure and Applied Algebra|
|Publication status||Accepted/In press - 12 Jan 2022|
- Vertex algebra
- formal group law
- generalized cohomology