论文标题
统一函子演算与现实
Unitary Functor Calculus with Reality
论文作者
论文摘要
我们本着正交演算的精神构建函子的演算，该精神旨在研究“具有现实的函子”，例如真实的分类太空函数，$ bu_ \ mathbb {r}（ - ）$。微积分产生了一个泰勒塔，其$ n $ then层是由频谱分类的，其动作为$ c_2 \ ltimes u（n）$。 我们进一步给出了模型分类考虑因素，在光谱之间产生了Quillen等价的曲折，并以$ C_2 \ ltimes u（n）$的作用以及输入函数类别上的模型结构，捕获了泰勒塔的$ n $ then层的同质理论。
We construct a calculus of functors in the spirit of orthogonal calculus, which is designed to study "functors with reality" such as the Real classifying space functor, $BU_\mathbb{R}(-)$. The calculus produces a Taylor tower, the $n$-th layer of which is classified by a spectrum with an action of $C_2 \ltimes U(n)$. We further give model categorical considerations, producing a zig-zag of Quillen equivalences between spectra with an action of $C_2 \ltimes U(n)$ and a model structure on the category of input functors which captures the homotopy theory of the $n$-th layer of the Taylor tower.
