String Topology
Geometric Topology
2007-05-23 v1 Quantum Algebra
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.
Cite
@article{arxiv.math/9911159,
title = {String Topology},
author = {Moira Chas and Dennis Sullivan},
journal= {arXiv preprint arXiv:math/9911159},
year = {2007}
}
Comments
29 pages, 8 figures