On the cohomology of homogeneous spaces of finite loop spaces and the Eilenberg–Moore spectral sequence |
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Authors: | Frank Neumann |
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Affiliation: | Mathematisches Institut, Georg-August-Universität Göttingen, Bunsenstr. 3-5, D-37073 Göttingen, Germany |
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Abstract: | We prove a collapse theorem for the Eilenberg–Moore spectral sequence and as an application we show that under certain conditions the cohomology of a homogeneous space of a connected finite loop space with a maximal rank torsion free subgroup is concentrated in even degrees and torsionfree, generalizing classical theorems for compact Lie groups of Borel and Bott. |
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Keywords: | Mathematical subject codes: 55P35 55T20 57T15 57T35 |
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