Homotopy of planar Lie group equivariant presheaves

IF 0.5 4区数学 Q2 MATHEMATICS Journal of Homotopy and Related Structures Pub Date : 2017-11-02 DOI:10.1007/s40062-017-0193-z

Scott Balchin

引用次数: 2

Abstract

We utilise the theory of crossed simplicial groups to introduce a collection of local Quillen model structures on the category of simplicial presheaves with a compact planar Lie group action on a small Grothendieck site. As an application, we give a characterisation of equivariant cohomology theories on a site as derived mapping spaces in these model categories.

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平面李群等变预轴的同伦

我们利用交叉简群理论，在一个小的Grothendieck点上，引入了具有紧平面李群作用的简预轴类上的一组局部Quillen模型结构。作为一种应用，我们给出了在这些模型范畴中的映射空间上的等变上同调理论的刻画。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.

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