On holonomy groupoid of vertex operator algebra bundles on foliations
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866911897190662144 |
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| author | Zuevsky, A. |
| author_facet | Zuevsky, A. |
| contents | 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 $Hol(M, \F)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_04246 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On holonomy groupoid of vertex operator algebra bundles on foliations Zuevsky, A. Functional Analysis 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 $Hol(M, \F)$. |
| title | On holonomy groupoid of vertex operator algebra bundles on foliations |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2207.04246 |