论文标题
稳定稳定稳定同义理论的紧凑型谎言组的规范
Norms for compact Lie groups in equivariant stable homotopy theory
论文作者
论文摘要
我们建议在正尺寸紧凑的谎言组$ g $和封闭的亚组$ h $的上下文中，构造了山霍普金斯 - 雷手相对规范$ n_ {h}^{g} $的类似物。我们探索建筑的预期特性。我们表明，在$ g $是圆圈组（单位副本）的情况下，此处的拟议构造与Angeltveit，Gerhardt，Lawson，Lawson和作者使用环状条形结构构建的相对规范一致。我们的构建是基于对均衡分解同源性的新观点，它利用框架从一个组的动作转换为另一组的动作。
We propose a construction of an analogue of the Hill-Hopkins-Ravenel relative norm $N_{H}^{G}$ in the context of a positive dimensional compact Lie group $G$ and closed subgroup $H$. We explore expected properties of the construction. We show that in the case when $G$ is the circle group (the unit complex numbers), the proposed construction here agrees with the relative norm constructed by Angeltveit, Gerhardt, Lawson, and the authors using the cyclic bar construction. Our construction is based on a new perspective on equivariant factorization homology, using framings to convert from actions of one group to another.
