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

^*Corresponding author for this work

School of Mathematical Sciences

University of Science and Technology of China

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	299-330
Number of pages	32
Journal	Communications in Mathematics and Statistics
Volume	10
Issue number	2
DOIs	https://doi.org/10.1007/s40304-020-00234-3
State	Published - Jun 2022

Keywords

Batalin–Vilkovisky algebra
Cyclic operad
Gerstenhaber-Voronov algebra
Nonsymmetric operad
Quesney homotopy BV algebra

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10.1007/s40304-020-00234-3

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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",

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

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AU - Zhou, Guodong

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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

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DO - 10.1007/s40304-020-00234-3

M3 - 文章

AN - SCOPUS:85109309271

SN - 2194-6701

VL - 10

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JO - Communications in Mathematics and Statistics

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

Abstract

Keywords

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