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arXiv · 2207.04246

On holonomy groupoid of vertex operator algebra bundles on foliations

A. Zuevsky
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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 $Hol(M, \F)$.

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A. Zuevsky. 2022-07-09. On holonomy groupoid of vertex operator algebra bundles on foliations. https://arxiv.org/abs/2207.04246

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