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Vertex Algebroids over Veronese Rings
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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Vertex Algebroids over Veronese Rings
Інший ID:
2000 Mathematics Subject Classification: 14Fxx, 81R10; 17B69
Посилання:
Vertex Algebroids over Veronese Rings / F. Malikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 25 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. The author would like to thank N. Nekrasov and especially V. Hinich for interesting discussions and for bringing to his attention. The paper was completed at the IHES in Bures-sur-Yvette. We are grateful to the institute for hospitality and excellent working conditions. This work was partially supported by an NSF grant. Special thanks go to V. Gorbounov and V. Schechtman.
Дата:
2008
Переглядів:
513
Завантажень:
227
Анотація:
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.
