Chain-Level String Topology Operations
Geometric Topology
2015-06-09 v1 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.1506.02596,
title = {Chain-Level String Topology Operations},
author = {Gabriel C. Drummond-Cole and Kate Poirier and Nathaniel Rounds},
journal= {arXiv preprint arXiv:1506.02596},
year = {2015}
}
Comments
67 pages, 23 figures