Operadic Hochschild chain complex and free loop spaces
代数拓扑
2007-05-23 v4 量子代数
摘要
We construct for any algebra over an operad an Hochschild chain complex. In the case of the singular cochain complex of a topological space, considered as a commutative algebra up to homotopy, we show that this complex computes the singular cohomology of the free loop space over this topological space.
引用
@article{arxiv.math/0211415,
title = {Operadic Hochschild chain complex and free loop spaces},
author = {David Chataur and Jean-Claude Thomas},
journal= {arXiv preprint arXiv:math/0211415},
year = {2007}
}
备注
13 pages