Higher string topology operations

By V. Godin. 2007

57 citations recorded by the source corpus.

Chas and Sullivan have defined an intersection-type product on the homology of the free loop space LM of an oriented manifold M. In this paper we show how to extend this construction to a topological conformal field theory of degree d. In particular, we get operations on the homology of LM which are parameterized by the homology of the moduli space of open-closed Riemann surfaces.

Subfields: Artificial Intelligence, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/cffa9e0f92c81aab859c260eef65ba41cb1e8514

Citations in the corpus

• Hochschild homology of structured algebras (2011, unknown): “We call a fat graph p–admissible (in the spirit of [19]) if p of its boundary cycles are disjoint embedded circles in the graph.”