Geodesic
String homology of spheres and projective spaces
Westerland, Craig1
1University of Wisconsin–Madison, Mathematics Department, 480 Lincoln Dr, Madison WI 53706-1388, USA
Algebraic and Geometric Topology, Tome 7 (2007) no. 1, pp. 309-325
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We study a spectral sequence that computes the S1–equivariant homology of the free loop space LM of a manifold M (the string homology of M). Using it and knowledge of the BV operations on HH∗(H∗(M),H∗(M)), we compute the (mod 2) string homology of M when M is a sphere or a projective space.

DOI : 10.2140/agt.2007.7.309
Keywords: Batalin–Vilkovisky algebra, string homology, equivariant homology, cyclic homology

Westerland, Craig  1

1 University of Wisconsin–Madison, Mathematics Department, 480 Lincoln Dr, Madison WI 53706-1388, USA 
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Westerland, Craig. String homology of spheres and projective spaces. Algebraic and Geometric Topology, Tome 7 (2007) no. 1, pp. 309-325. doi: 10.2140/agt.2007.7.309

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