Transferring homotopy commutative algebraic structures

被引：26

作者：

Cheng, Xue Zhi ^{[2
,3
]}

Getzler, Ezra ^{[1
]}

机构：

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

[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

[3] USTC SIAS, CMTP, Shanghai 201315, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2008年 / 212卷 / 11期

关键词：

D O I：

10.1016/j.jpaa.2008.04.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the sum over planar tree formula of Kontsevich and Soibelman transfers C-infinity-structures along a contraction. Applying this result to a cosimplicial commutative algebra A(center dot) over a field of characteristic zero, we exhibit a canonical C-infinity-structure on Tot(A(center dot)), which is unital if A(center dot) is; in particular, we obtain a canonical C-infinity-structure on the cochain complex of a simplicial set. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：2535 / 2542

页数：8

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