$A_\infty$-结构的唯一性与Hochschild上同调
代数拓扑
2014-10-01 v4
摘要
本文研究一个微分分次代数是否可以拥有多个扩展给定微分分次代数结构的-结构。我们利用Hochschild上同调给出了此类-结构在准同构意义下唯一性的一个充分条件。随后，在引入适用于Sagave的导出-代数概念的Hochschild上同调概念后，我们将该条件推广至Sagave的导出-代数情形。
引用
@article{arxiv.0909.3222,
title = {Uniqueness of $A_\infty$-structures and Hochschild cohomology},
author = {Constanze Roitzheim and Sarah Whitehouse},
journal= {arXiv preprint arXiv:0909.3222},
year = {2014}
}
备注
The paper has been rearranged and the results are now formulated in terms of a filtration of the Hochschild cohomology groups. To appear in Algebraic and Geometric Topology