Chain-Level String Topology Operations

Gabriel C. Drummond-Cole; Kate Poirier; Nathaniel Rounds

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arXiv · 1506.02596

Chain-Level String Topology Operations

Gabriel C. Drummond-Cole·Kate Poirier·Nathaniel Rounds

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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.

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BibTeX RIS

Gabriel C. Drummond-Cole, Kate Poirier, Nathaniel Rounds. 2015-06-08. Chain-Level String Topology Operations. https://arxiv.org/abs/1506.02596

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