String homology of spheres and projective spaces

Details String homology of spheres and projective spaces String homology of spheres and projective spaces

2006-02-23

arxiv.org/abs/math/0602539v1

Mathematics

Algebraic Topology

11 pages

Scientific paper

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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