An Algebraic Chain Model of String Topology
Algebraic Topology
2009-01-06 v3
Abstract
A chain complex model for the free loop space of a connected, closed and oriented manifold is presented, and on its homology, the Gerstenhaber and Batalin-Vilkovisky algebra structures are defined and identified with the string topology structures. The gravity algebra on the equivariant homology of the free loop space is also modeled. The construction includes non simply-connected case, and therefore gives an algebraic and chain level model of Chas-Sullivan's String Topology.
Cite
@article{arxiv.0708.1197,
title = {An Algebraic Chain Model of String Topology},
author = {Xiaojun Chen},
journal= {arXiv preprint arXiv:0708.1197},
year = {2009}
}
Comments
30 pages; revised version with errors corrected