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Good objects in the equivariant world

2024/11/05 by Ghosh, Surojit, Kundu, Bikramjit
#55P48 #55P65 #Algebraic Topology (math.AT) #FOS: Mathematics #Primary: 55P91 #Secondary: 55N91

paper · doi:10.48550/arxiv.2411.02803

Abstract

This article explores equivariant localization in the category of G-spaces, where G is a compact Lie group. We establish a commutation rule for the localization functor and the equivariant loop functor. Additionally, we introduce and classify certain good objects in this category up to their Bredon cohomology with coefficients in the constant rational Mackey functor \underline\Q.

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