Rational Equivariant Rigidity

Details Rational Equivariant Rigidity Rational Equivariant Rigidity

2010-09-22

arxiv.org/abs/1009.4329v2

Mathematics

Algebraic Topology

19 Pages, new sections added on S1 rigidity and the relation between intrinsic formality and rigidity

Scientific paper

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.

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