Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction
Quantum Algebra
2019-07-03 v3
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.
Keywords
Cite
@article{arxiv.math/0303172,
title = {Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction},
author = {Tomoyuki Arakawa},
journal= {arXiv preprint arXiv:math/0303172},
year = {2019}
}
Comments
to appear in Int. Math. Res. Not.; 28 pages ; v2 adds a new section, v3: minor revisions and typos (including the author's name)