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On holonomy groupoid of vertex operator algebra bundles on foliations

Authors :
Zuevsky, A.
Publication Year :
2022

Abstract

For a foliation $\F$ defined on a smooth complex manifold $M$ we introduce the category of vertex operator algebra $V$ bundles with sections provided by vectors of elements of the space of algebraically extended $V$-module $W$-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 $V$ bundle with vertex operator algebra cohomology of the holonomy groupoid $Hol(M, \F)$.

Subjects

Subjects :
Mathematics - Functional Analysis

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2207.04246
Document Type :
Working Paper