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

Weiguo Lyu; Guodong Zhou

doi:10.1007/s40304-020-00234-3

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

Weiguo Lyu^*
, Guodong Zhou

^*此作品的通讯作者

数学科学学院

University of Science and Technology of China

科研成果: 期刊稿件 › 文章 › 同行评审

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.

源语言	英语
页（从-至）	299-330
页数	32
期刊	Communications in Mathematics and Statistics
卷	10
期	2
DOI	https://doi.org/10.1007/s40304-020-00234-3
出版状态	已出版 - 6月 2022

访问文件

10.1007/s40304-020-00234-3

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{0f3d1c0afa4340d7b619437d498a0742,

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

abstract = "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.",

keywords = "Batalin–Vilkovisky algebra, Cyclic operad, Gerstenhaber-Voronov algebra, Nonsymmetric operad, Quesney homotopy BV algebra",

author = "Weiguo Lyu and Guodong Zhou",

note = "Publisher Copyright: {\textcopyright} 2021, School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2022",

month = jun,

doi = "10.1007/s40304-020-00234-3",

language = "英语",

volume = "10",

pages = "299--330",

journal = "Communications in Mathematics and Statistics",

issn = "2194-6701",

publisher = "Springer Verlag",

number = "2",

}

TY - JOUR

T1 - The Normalized Cochain Complex of a Nonsymmetric Cyclic Operad with Multiplication is a Quesney Homotopy BV Algebra

AU - Lyu, Weiguo

AU - Zhou, Guodong

PY - 2022/6

Y1 - 2022/6

N2 - 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.

AB - 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.

KW - Batalin–Vilkovisky algebra

KW - Cyclic operad

KW - Gerstenhaber-Voronov algebra

KW - Nonsymmetric operad

KW - Quesney homotopy BV algebra

UR - https://www.scopus.com/pages/publications/85109309271

U2 - 10.1007/s40304-020-00234-3

DO - 10.1007/s40304-020-00234-3

M3 - 文章

AN - SCOPUS:85109309271

SN - 2194-6701

VL - 10

SP - 299

EP - 330

JO - Communications in Mathematics and Statistics

JF - Communications in Mathematics and Statistics

IS - 2

ER -

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

摘要

访问文件

其它文件与链接

指纹

引用此