论文标题
稳定的亚当斯在Hermitian K理论上的操作
The stable Adams operations on Hermitian K-theory
论文作者
论文摘要
我们证明（偏斜）对称捆绑包的外部功能会在环$ gw^0（x）\ oplus gw^2（x）$上诱导$λ$ - 环的结构，当$ x $是$ 2 $可逆的方案时。使用这种结构，我们在Hermitian $ K $ -Theory上定义了稳定的Adams操作。作为我们方法的副产品，我们还计算了与Hermitian $ k $ - 理论相关的三元法律。
We prove that exterior powers of (skew-)symmetric bundles induce a $λ$-ring structure on the ring $GW^0(X) \oplus GW^2(X)$, when $X$ is a scheme where $2$ is invertible. Using this structure, we define stable Adams operations on Hermitian $K$-theory. As a byproduct of our methods, we also compute the ternary laws associated to Hermitian $K$-theory.
