A spectral sequence for string cohomology |
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Authors: | Marcel Bökstedt |
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Institution: | Department of Mathematical Sciences, University of Aarhus, Ny Munkegade, Building 530, DK-8000 Aarhus C, Denmark |
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Abstract: | Let X be a 1-connected space with free-loop space ΛX. We introduce two spectral sequences converging towards H*(ΛX;Z/p) and H*((ΛX)hT;Z/p). The E2-terms are certain non-Abelian-derived functors applied to H*(X;Z/p). When H*(X;Z/p) is a polynomial algebra, the spectral sequences collapse for more or less trivial reasons. If X is a sphere it is a surprising fact that the spectral sequences collapse for p=2. |
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Keywords: | 55N91 55P35 18G50 |
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