Corpus ID: 118857385

Chain-Level String Topology Operations

@article{DrummondCole2015ChainLevelST,
  title={Chain-Level String Topology Operations},
  author={Gabriel C. Drummond-Cole and Kate Poirier and Nathaniel Rounds},
  journal={arXiv: Geometric Topology},
  year={2015}
}
  • Gabriel C. Drummond-Cole, Kate Poirier, Nathaniel Rounds
  • Published 2015
  • Mathematics
  • arXiv: Geometric Topology
  • We construct a space of string diagrams, which are a type of fatgraph with some additional data, and show that there are string topology operations on the chains of the free loop space of a closed Riemannian manifold which are parameterized by the chains on the space of string diagrams. These operations are shown to recover known structure on homology of the free loop space. 
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