String cohomology groups of complex projective spaces

Details String cohomology groups of complex projective spaces String cohomology groups of complex projective spaces

2006-05-30

arxiv.org/abs/math/0605754v1

Mathematics

Algebraic Topology

61 pages

Scientific paper

Let X be a space and write LX for its free loop space equipped with the
action of the circle group T given by dilation. We compute the equivariant
cohomology H^*(LX_hT; Z/p) as a module over H^*(BT; Z/p) when X=CP^r for any
positive integer r and any prime number p. The computation implies that the
associated mod p Serre spectral sequence collapses from the E_3-page.

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