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arXiv:math/0602539 [math.AT]AbstractReferencesReviewsResources

String homology of spheres and projective spaces

Craig Westerland

Published 2006-02-23Version 1

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.

Comments: 11 pages
Categories: math.AT
Subjects: 55N45, 55N91, 55S91
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