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A spectral sequence for string cohomology
Let X be a 1-connected space with free loop space LX. We introduce two
spectral sequences converging towards H^*(LX;Z/p) and H^*((LX)_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.Comment: 38 page
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