English

On holonomy groupoid of vertex operator algebra bundles on foliations

Functional Analysis 2024-06-04 v2

Abstract

For a foliation \F\F defined on a smooth complex manifold MM we introduce the category of vertex operator algebra VV bundles with sections provided by vectors of elements of the space of algebraically extended VV-module WW-valued differentials. An intrinsic coordinate-independent formulation for such bundles is given. Finally, we identify the cohomology of the spaces of sections for a vertex operator algebra VV bundle with vertex operator algebra cohomology of the holonomy groupoid Hol(M,\F)Hol(M, \F).

Keywords

Cite

@article{arxiv.2207.04246,
  title  = {On holonomy groupoid of vertex operator algebra bundles on foliations},
  author = {A. Zuevsky},
  journal= {arXiv preprint arXiv:2207.04246},
  year   = {2024}
}