Corpus ID: 18347587

Higher string topology operations

  title={Higher string topology operations},
  author={V. Godin},
  journal={arXiv: Algebraic Topology},
  • V. Godin
  • Published 2007
  • Mathematics
  • arXiv: Algebraic Topology
  • 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. 
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