English

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

K-Theory and Homology 2021-10-01 v1 Quantum Algebra

Abstract

We give a topological construction of graded vertex F-algebras that generalizes Joyce's vertex algebra to complex-oriented homology. Given an H-space X with a BU(1)-action, a certain choice of K-theory class, and a complex oriented homology theory E, we build a graded vertex F-algebra structure on the homology E(X)E_*(X) where F is the formal group law associated with E.

Keywords

Cite

@article{arxiv.2109.15131,
  title  = {Vertex F-algebra structures on the complex oriented homology of H-spaces},
  author = {Jacob Gross and Markus Upmeier},
  journal= {arXiv preprint arXiv:2109.15131},
  year   = {2021}
}

Comments

12 pages