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UNITARY FUNCTOR CALCULUS WITH REALITY
Glasgow Mathematical Journal ( IF 0.5 ) Pub Date : 2021-03-10 , DOI: 10.1017/s0017089521000033
NIALL TAGGART

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, . The calculus produces a Taylor tower, the n-th layer of which is classified by a spectrum with an action of . We further give model categorical considerations, producing a zigzag of Quillen equivalences between spectra with an action of and a model structure on the category of input functors which captures the homotopy theory of the n-th layer of the Taylor tower.

中文翻译:

具有实数的酉函数微积分

我们本着正交演算的精神构建了一个函子演算,旨在研究“具有现实的函子”,例如 Real 分类空间函子,. 微积分产生泰勒塔,n-th 层由具有作用的频谱分类. 我们进一步给出模型分类考虑,在光谱之间产生曲折的 Quillen 等价,其作用为和一个关于输入函子范畴的模型结构,它捕捉了同伦理论n- 泰勒塔的第 1 层。
更新日期:2021-03-10
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