Batalin–Vilkovisky algebras and the noncommutative Poincaré duality of Koszul Calabi–Yau algebras

Xiaojun Chen; Song Yang; Guodong Zhou

doi:10.1016/j.jpaa.2015.11.016

Batalin–Vilkovisky algebras and the noncommutative Poincaré duality of Koszul Calabi–Yau algebras

Xiaojun Chen
, Song Yang
, Guodong Zhou^*

^*此作品的通讯作者

数学科学学院

Sichuan University

科研成果: 期刊稿件 › 文章 › 同行评审

15 引用（Scopus）

摘要

Let A be a Koszul Calabi–Yau algebra. We show that there exists an isomorphism of Batalin–Vilkovisky algebras between the Hochschild cohomology ring of A and that of its Koszul dual algebra A^!. This confirms (a generalization of) a conjecture of R. Rouquier.

源语言	英语
页（从-至）	2500-2532
页数	33
期刊	Journal of Pure and Applied Algebra
卷	220
期	7
DOI	https://doi.org/10.1016/j.jpaa.2015.11.016
出版状态	已出版 - 2016

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10.1016/j.jpaa.2015.11.016

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title = "Batalin–Vilkovisky algebras and the noncommutative Poincar{\'e} duality of Koszul Calabi–Yau algebras",

abstract = "Let A be a Koszul Calabi–Yau algebra. We show that there exists an isomorphism of Batalin–Vilkovisky algebras between the Hochschild cohomology ring of A and that of its Koszul dual algebra A!. This confirms (a generalization of) a conjecture of R. Rouquier.",

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AU - Chen, Xiaojun

AU - Yang, Song

AU - Zhou, Guodong

PY - 2016

Y1 - 2016

N2 - Let A be a Koszul Calabi–Yau algebra. We show that there exists an isomorphism of Batalin–Vilkovisky algebras between the Hochschild cohomology ring of A and that of its Koszul dual algebra A!. This confirms (a generalization of) a conjecture of R. Rouquier.

AB - Let A be a Koszul Calabi–Yau algebra. We show that there exists an isomorphism of Batalin–Vilkovisky algebras between the Hochschild cohomology ring of A and that of its Koszul dual algebra A!. This confirms (a generalization of) a conjecture of R. Rouquier.

KW - 14A22

KW - 16E40

KW - 16S38

KW - 55U30

UR - https://www.scopus.com/pages/publications/84949479487

U2 - 10.1016/j.jpaa.2015.11.016

DO - 10.1016/j.jpaa.2015.11.016

M3 - 文章

AN - SCOPUS:84949479487

SN - 0022-4049

VL - 220

SP - 2500

EP - 2532

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 7

ER -

Batalin–Vilkovisky algebras and the noncommutative Poincaré duality of Koszul Calabi–Yau algebras

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