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Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction

Tomoyuki Arakawa
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Abstract

We prove a vanishing theorem of the cohomology arising from the two Quantized Drinfeld-Sokolov reductions (``+'' and ``-'' reduction) introduced by Feigin-Frenkel and Frenkel-Kac-Wakimoto. As a consequence, the vanishing conjecture of Frenkel-Kac-Wakimoto is proved for the ``-'' reduction and partially for the ``+'' reduction.

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Tomoyuki Arakawa. 2003-03-13. Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction. https://doi.org/10.1155/s1073792804132479

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