Corpus ID: 18347587

Higher string topology operations

@article{Godin2007HigherST,
  title={Higher string topology operations},
  author={V. Godin},
  journal={arXiv: Algebraic Topology},
  year={2007}
}

V. Godin

Published 2007

Mathematics

arXiv: Algebraic Topology

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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.