The Normalized Cochain Complex of a Nonsymmetric Cyclic Operad with Multiplication is a Quesney Homotopy BV Algebra

被引：0

作者：

Lyu, Weiguo ^{[1
]}

Zhou, Guodong ^{[2
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

[2] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICS AND STATISTICS | 2022年 / 10卷 / 02期

关键词：

Nonsymmetric operad; Cyclic operad; Gerstenhaber-Voronov algebra; Batalin-Vilkovisky algebra; Quesney homotopy BV algebra; COHOMOLOGY; DEFORMATION;

D O I：

10.1007/s40304-020-00234-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the normalized cochain complex of a nonsymmetric cyclic operad with multiplication is a Quesney homotopy BV algebra; as a consequence, the cohomology groups form a Batalin-Vilkovisky algebra, which is a result due to L. Menichi. We provide ample examples.

引用

页码：299 / 330

页数：32

共 3 条

[1] The Normalized Cochain Complex of a Nonsymmetric Cyclic Operad with Multiplication is a Quesney Homotopy BV Algebra
Weiguo Lyu
Guodong Zhou
Communications in Mathematics and Statistics, 2022, 10 : 299 - 330
[2] Homotopy G-algebra structure on Bredon-Illman cochain complex
Mukherjee, G
Pandey, N
TOPOLOGY AND ITS APPLICATIONS, 2004, 144 (1-3) : 51 - 65
[3] Homotopy G-algebra structure on the cochain complex of hom-type algebras
Das, Apurba
COMPTES RENDUS MATHEMATIQUE, 2018, 356 (11-12) : 1090 - 1099

← 1 →