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

共 19 条

[1] HODGE-DELIGNE THEORY
AZNAR, VN
[J]. INVENTIONES MATHEMATICAE, 1987, 90 (01) : 11 - 76
[2] Dupont J., 1978, Lecture Notes in Mathematics, V640
[3] SIMPLICIAL DE RHAM COHOMOLOGY AND CHARACTERISTIC CLASSES OF FLAT BUNDLES
DUPONT, JL
[J]. TOPOLOGY, 1976, 15 (03) : 233 - 245
[4] L∞ structures on mapping cones
Fiorenza, Domenico
Manetti, Marco
[J]. ALGEBRA & NUMBER THEORY, 2007, 1 (03) : 301 - 330
[5] A-INFINITY-ALGEBRAS AND THE CYCLIC BAR COMPLEX
GETZLER, E
JONES, JDS
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1990, 34 (02) : 256 - 283
[6] GETZLER E, ANN MATH IN PRESS
[7] Kadeishvili T., 1988, P TBIL MATH I, V91, P1927
[8] KADEISHVILI TV, ARXIVMATHAT0210331
[9] Kadeisvili T.V., 1980, USPEKHI MAT NAUK, V35, P183
[10] KoNTsEvIcH M., 2001, Symplectic geometry and mirror symmetry, P203

← 1 2 →