Deligne猜想的瑞士奶酪版本的证明
K理论与同调
2010-12-24 v3 代数拓扑
摘要
对于结合代数A，我们考虑对“Hochschild上链复形C*(A,A)与代数A”。存在一个自然的双色operad作用于该对上。我们证明该operad拟同构于Voronov瑞士奶酪operad的奇异链operad。这一陈述是由M. Kontsevich在arXiv:math/9904055中阐述的Deligne猜想的瑞士奶酪版本。
引用
@article{arxiv.0904.2753,
title = {Proof of Swiss Cheese Version of Deligne's Conjecture},
author = {Vasiliy Dolgushev and Dmitry Tamarkin and Boris Tsygan},
journal= {arXiv preprint arXiv:0904.2753},
year = {2010}
}
备注
The article was rewritten. Multiple suggestions of referees were addressed. The paper is accepted for publication to IMRN