String homology of spheres and projective spaces

Published 23 Feb 2006 in math.AT | (0602539v1)

Abstract: We study a spectral sequence that computes the (mod 2) S^{1-equivariant} homology of the free loop space LM of a manifold M (the "string homology" of M). Using it and knowledge of the string topology operations on the homology of LM, we compute the string homology of M when M is a sphere or a projective space.

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