String Topology

Moira Chas; Dennis Sullivan

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String Topology

Moira Chas·Dennis Sullivan

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Abstract

Consider two families of closed oriented curves in a d-manifold. At each point of intersecction of a curve of one family with a curve of the other family, form a new closed curve by going around the first curve and then going around the second. Typically, an i-dimensional family and a j-dimensional family will produce an (i+j-d+2)-dimensional family. Our purpose is to describe mathematical structure behind such interactions.

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Moira Chas, Dennis Sullivan. 1999-11-21. String Topology. https://arxiv.org/abs/math/9911159

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