Vertex Algebroids over Veronese Rings
We find a canonical quantization of Courant algebroids over Veronese rings. Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators on some homogeneous spaces including the space of pure spinors punctured at...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2008-12-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2008.086 |
| _version_ | 1819147238110134272 |
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| author | Fyodor Malikov |
| author_facet | Fyodor Malikov |
| author_sort | Fyodor Malikov |
| collection | DOAJ |
| description | We find a canonical quantization of Courant algebroids over Veronese rings. Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators on some homogeneous spaces including the space of pure spinors punctured at a point. |
| first_indexed | 2024-12-22T13:26:38Z |
| format | Article |
| id | doaj.art-d0812dd573034b19a8f1f88983a0ea57 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-22T13:26:38Z |
| publishDate | 2008-12-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-d0812dd573034b19a8f1f88983a0ea572022-12-21T18:24:18ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592008-12-014086Vertex Algebroids over Veronese RingsFyodor MalikovWe find a canonical quantization of Courant algebroids over Veronese rings. Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators on some homogeneous spaces including the space of pure spinors punctured at a point.http://dx.doi.org/10.3842/SIGMA.2008.086differential graded algebravertex algebraalgebroid |
| spellingShingle | Fyodor Malikov Vertex Algebroids over Veronese Rings Symmetry, Integrability and Geometry: Methods and Applications differential graded algebra vertex algebra algebroid |
| title | Vertex Algebroids over Veronese Rings |
| title_full | Vertex Algebroids over Veronese Rings |
| title_fullStr | Vertex Algebroids over Veronese Rings |
| title_full_unstemmed | Vertex Algebroids over Veronese Rings |
| title_short | Vertex Algebroids over Veronese Rings |
| title_sort | vertex algebroids over veronese rings |
| topic | differential graded algebra vertex algebra algebroid |
| url | http://dx.doi.org/10.3842/SIGMA.2008.086 |
| work_keys_str_mv | AT fyodormalikov vertexalgebroidsoververoneserings |