Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction

Details Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction

2003-03-13

arxiv.org/abs/math/0303172v3

Mathematics

Quantum Algebra

to appear in Int. Math. Res. Not.; 28 pages ; v2 adds a new section, v3: minor revisions and typos (including the author's nam

Scientific paper

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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