论文标题
$ C_2 $ - 有效的光谱序列$ C_2 $ - EQUIVARIANT CONNGION CONNGITIVE REAL $ K $ - 理论
The $C_2$-effective spectral sequence for $C_2$-equivariant connective real $K$-theory
论文作者
论文摘要
我们为RO $（C_2）$ - 分级同型组构建了$ C_2 $ Equivariant Spectral序列。该构建是通过使用动机有效切片过滤和$ C_2 $ Equivariant Betti实现的。我们应用光谱序列来计算完整的$ C_2 $ -Equivariant结缔组织的RO $（C_2）$分级同型组。该计算依靠吉卢，希尔，伊萨克森和拉维内尔的$ C_2 $ Equivariant Adams频谱序列结果。
We construct a $C_2$-equivariant spectral sequence for RO$(C_2)$-graded homotopy groups. The construction is by using the motivic effective slice filtration and the $C_2$-equivariant Betti realization. We apply the spectral sequence to compute the RO$(C_2)$-graded homotopy groups of the completed $C_2$-equivariant connective real $K$-theory spectrum. The computation reproves the $C_2$-equivariant Adams spectral sequence results by Guillou, Hill, Isaksen and Ravenel.
