On the RO(Q)-graded coefficients of Eilenberg–MacLane spectra

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2022-10-05 DOI:10.1007/s40062-022-00314-x

Igor Sikora

引用次数: 0

Abstract

Let Q denote the cyclic group of order two. Using the Tate diagram we compute the RO(Q)-graded coefficients of Eilenberg–MacLane Q-spectra and describe their structure as modules over the coefficients of the Eilenberg–MacLane spectrum of the Burnside Mackey functor. If the underlying Mackey functor is a Green functor, we also obtain the multiplicative structure on the RO(Q)-graded coefficients.

Abstract Image

查看原文本刊更多论文

Eilenberg-MacLane光谱的RO(Q)梯度系数

设Q表示二阶循环群。利用Tate图，我们计算了Eilenberg-MacLane Q谱的RO(Q)梯度系数，并将其结构描述为Burnside Mackey函子的Eilenberg-MacLane谱系数上的模块。如果底层的Mackey函子是Green函子，我们也得到了RO(Q)分级系数的乘法结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Homotopy and Related Structures Mathematics-Geometry and Topology

自引率

0.00%

发文量

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.