# Topology, Geometry and Quantum Field Theory: A polarized view of string topology

@inproceedings{Cohen2004TopologyGA,
title={Topology, Geometry and Quantum Field Theory: A polarized view of string topology},
author={Ralph Cohen and V{\'e}ronique Godin},
year={2004}
}
• Published 28 February 2003
• Mathematics
Let M be a closed, connected manifold, and LM its loop space. In this paper we describe closed string topology operations in h_*(LM), where h_* is a generalized homology theory that supports an orientation of M. We will show that these operations give h_*(LM) the structure of a unital, commutative Frobenius algebra without a counit. Equivalently they describe a positive boundary, two dimensional topological quantum field theory associated to h_*(LM). This implies that there are operations…
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