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String homology of spheres and projective spaces

Craig Westerland
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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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Craig Westerland. 2006-02-23. String homology of spheres and projective spaces. https://doi.org/10.2140/agt.2007.7.309

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