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math.AG2011★ 16 cited
Localization of affine W-algebras
T. Arakawa, T. Kuwabara, F. Malikov
We introduce the notion of an asymptotic algebra of chiral differential operators. We then construct, via a chiral Hamiltonian reduction, one such algebra over a resolution of the…
math.AG2009
A vertex algebra attached to the flag manifold and Lie algebra cohomology
T. Arakawa, F. Malikov
Each flag manifold carries a unique algebra of chiral differential operators. Continuing along the lines of arXiv:0903.1281 we compute the vertex algebra structure on the cohomolog…