12 citations · 22 across the 2 of their papers we have counts for
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math.GT2015★ 10 cited
Chain-Level String Topology Operations
Gabriel C. Drummond-Cole, Kate Poirier, Nathaniel Rounds
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 s…
math.GT2011★ 12 cited
Compactifying String Topology
Kate Poirier, Nathaniel Rounds
We study the string topology of a closed oriented Riemannian manifold M. We describe a compact moduli space of diagrams, and show how the cellular chain complex of this space gives…