Higher string topology operations
Algebraic Topology
2008-02-19 v2 Geometric Topology
Abstract
Chas and Sullivan have defined an intersection-type product on the homology of the free loop space LM of an oriented manifold M. In this paper we show how to extend this construction to a topological conformal field theory of degree d. In particular, we get operations on the homology of LM which are parameterized by the homology of the moduli space of open-closed Riemann surfaces.
Cite
@article{arxiv.0711.4859,
title = {Higher string topology operations},
author = {Veronique Godin},
journal= {arXiv preprint arXiv:0711.4859},
year = {2008}
}
Comments
78 pages, 12 figures. Typos corrected, some proofs clarified