Corpus ID: 16883662

String Topology

@inproceedings{Chas1999StringT,
  title={String Topology},
  author={M. Chas and D. Sullivan},
  year={1999}
}
There is a diffeomorphism invariant structure in the free loop space of a manifold defined (with Moira Chas) by considering transversal intersections in families of collections of closed curves. At the first stage there is at the level of chains a mapping from the moduli space of surfaces with parametrized input and output boundary components to operators between the function space of mappings of input and output boundaries into the manifold. This structure resembles a combinatorial conformal… Expand
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