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math.AG2008★ 4 cited
Algebras of twisted chiral differential operators and affine localization of -modules
Tomoyuki Arakawa, Dmytro Chebotarov, Fyodor Malikov
We propose a notion of algebra of {\it twisted} chiral differential operators over algebraic manifolds with vanishing 1st Pontrjagin class. We show that such algebras possess famil…
math.AG2008
Vertex Algebroids over Veronese Rings
Fyodor Malikov
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 def…