String topology operations

These are operations on the homology and $ S^{1}$-equivariant homology of the free loop space of a manifold $ M$ defined via intersection theory. For example, using these operations, $ H_{\ast}(LM)$ has the structure of a graded commutative algebra and a graded Lie algebra.



Jeffrey Herschel Giansiracusa 2005-05-17