A Note on the Chas-Sullivan product
Francois Laudenbach (LMJL)
TL;DR
This paper introduces a finite dimensional method to define the Chas-Sullivan product on the free loop space of any manifold, expanding its applicability beyond orientable cases.
Contribution
It provides a novel finite dimensional framework for the Chas-Sullivan product applicable to both orientable and non-orientable manifolds.
Findings
Finite dimensional approach to Chas-Sullivan product
Applicable to orientable and non-orientable manifolds
Simplifies understanding of loop space algebraic structures
Abstract
We give a finite dimensional approach to the Chas-Sullivan product on the free loop space of a manifold, orientable or not.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematics and Applications · Geometric Analysis and Curvature Flows