Abstract
We study a spectral sequence that computes the 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 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 309-325 |
| Number of pages | 17 |
| Journal | Algebraic and Geometric Topology |
| Volume | 7 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2007 |
Keywords
- Batalin-Vilkovisky algebra
- Cyclic homology
- Equivariant homology
- String homology