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^*

^*Corresponding author for this work

School of Mathematical Sciences

Sichuan University

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

15 Scopus citations

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.

Original language	English
Pages (from-to)	2500-2532
Number of pages	33
Journal	Journal of Pure and Applied Algebra
Volume	220
Issue number	7
DOIs	https://doi.org/10.1016/j.jpaa.2015.11.016
State	Published - 2016

Keywords

14A22
16E40
16S38
55U30

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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.",

keywords = "14A22, 16E40, 16S38, 55U30",

author = "Xiaojun Chen and Song Yang and Guodong Zhou",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier B.V.",

year = "2016",

doi = "10.1016/j.jpaa.2015.11.016",

language = "英语",

volume = "220",

pages = "2500--2532",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Batalin–Vilkovisky algebras and the noncommutative Poincaré duality of Koszul Calabi–Yau algebras

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

Abstract

Keywords

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