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 language | English |
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Article number | 107019 |
Number of pages | 13 |
Journal | Journal of Pure and Applied Algebra |
Volume | 226 |
Issue number | 8 |
Early online date | 24 Jan 2022 |
DOIs | |
Publication status | Published - 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.Keywords
- Vertex algebra
- formal group law
- generalized cohomology
- H-space