2010/09/22 by David Barnes, Barnes, David, Constanze Roitzheim +1
Mathematics · #55P42 #55P91 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:55P42 #msc:55P91
paper · pdf · doi:10.48550/arxiv.1009.4329
19 Pages, new sections added on S1 rigidity and the relation between intrinsic formality and rigidity
arxiv created 2012/01/26 · arxiv updated 2012/01/27
We prove that if G is the circle group or a profinite group, then the all of the homotopical information of the category of rational G-spectra is captured by triangulated structure of the rational G-equivariant stable homotopy category. That is, for G profinite or S1, the rational G-equivariant stable homotopy category is rigid. For the case of profinite groups this rigidity comes from an intrinsic formality statement, so we carefully relate the notion of intrinsic formality of a differential graded algebra to rigidity.