论文标题
稳定极地表示附近的循环滑轮
Nearby Cycle Sheaves for Stable Polar Representations
论文作者
论文摘要
我们将[GVX]的结果扩展到稳定的极性表示G | V的设置（g连接，在C上还原），满足了一些温和的其他假设。给定标准图f：v-> v/g的g-等级等级一个局部系统l，我们计算了f的零纤维上相应的附近周期旋风p的傅立叶变换。我们的主要预期应用是针对C.的分级谎言的特征束系理论。
We extend the results of [GVX] to the setting of a stable polar representation G|V (G connected, reductive over C), satisfying some mild additional hypotheses. Given a G-equivariant rank one local system L on the general fiber of the quotient map f : V --> V/G, we compute the Fourier transform of the corresponding nearby cycle sheaf P on the zero-fiber of f. Our main intended application is to the theory of character sheaves for graded Lie algebras over C.
