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Compactifying String Topology by Poirier, Kate; Rounds, Nathaniel is a scholarly article available to read on EtoBox.

What is Compactifying String Topology about?

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 algebraic operations on the singular chains of the free loop space LM of M. These operations are well-defined on the homology of a quotient of this moduli space, which has the homotopy type of a compactification of the moduli space of Riemann surfaces. In particular, our action of the 0-dimensional homology of the quotient space on the homology of the free loop space of M recovers the Cohen-Godin positive boundary TQFT.

Author

Poirier, Kate; Rounds, Nathaniel

Published

2011

Language

EN