Proof of Swiss Cheese Version of Deligne's Conjecture

被引：9

作者：

Dolgushev, V. A. ^{[1
]}

Tamarkin, D. E. ^{[2
]}

Tsygan, B. L. ^{[2
]}

机构：

[1] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

[2] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2011年 / 2011卷 / 20期

基金：

美国国家科学基金会;

关键词：

OPERADS; OPERATIONS; ALGEBRAS;

D O I：

10.1093/imrn/rnq265

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an associative algebra A, we consider the pair "the Hochschild cochain complex C-center dot(A,A) and the algebra A". There is a natural 2-colored operad which acts on this pair. We show that this operad is quasi-isomorphic to the singular chain operad of Voronov's Swiss Cheese operad. This statement is the Swiss Cheese version of the Deligne conjecture formulated by M. Kontsevich ["Operads and motives in deformation quantization." Letters in Mathematical Physics 48 (1999) 35-72.].

引用

页码：4666 / 4746

页数：81

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