Batalin-Vilkovisky algebras and the noncommutative Poincare duality of Koszul Calabi-Yau algebras

被引：14
|
作者：
Chen, Xiaojun [1 ]
Yang, Song [1 ]
Zhou, Guodong [2 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[2] E China Normal Univ, Shanghai Key Lab PMMP, Dept Math, Shanghai 200241, Peoples R China
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2016年 / 220卷 / 07期
关键词：
CYCLIC HOMOLOGY; DUALIZING COMPLEXES; COHOMOLOGY; RING;
D O I：
10.1016/j.jpaa.2015.11.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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(1). This confirms (a generalization of) a conjecture of R. Rouquier. (c) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：2500 / 2532
页数：33
相关论文
共 27 条
  • [1] Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras
    Chen, Xiaojun
    Chen, Youming
    Eshmatov, Farkhod
    Yang, Song
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2021, 15 (03) : 889 - 918
  • [2] Homotopy Batalin-Vilkovisky algebras
    Galvez-Carrillo, Imma
    Tonks, Andy
    Vallette, Bruno
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2012, 6 (03) : 539 - 602
  • [3] Van den Bergh duality and the structure of Batalin-Vilkoviskii on Calabi-Yau algebras
    Lambre, Thierry
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2010, 4 (03) : 441 - 457
  • [4] Cleft extensions of Koszul twisted Calabi-Yau algebras
    Yu, Xiaolan
    Van Oystaeyen, Fred
    Zhang, Yinhuo
    ISRAEL JOURNAL OF MATHEMATICS, 2016, 214 (02) : 785 - 829
  • [5] Noncommutative del Pezzo surfaces and Calabi-Yau algebras
    Etingof, Pavel
    Ginzburg, Victor
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2010, 12 (06) : 1371 - 1416
  • [6] Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras
    Chen, Xiaojun
    Eshmatov, Alimjon
    Eshmatov, Farkhod
    Liu, Leilei
    SELECTA MATHEMATICA-NEW SERIES, 2022, 28 (03):
  • [7] Poincar,-Birkhoff-Witt Deformation of Koszul Calabi-Yau Algebras
    Wu, Quanshui S.
    Zhu, Can
    ALGEBRAS AND REPRESENTATION THEORY, 2013, 16 (02) : 405 - 420
  • [8] Calabi-Yau algebras and their deformations
    He, Ji-Wei
    Van Oystaeyen, Fred
    Zhang, Yinhuo
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2013, 56 (03): : 335 - 347
  • [9] Calabi-Yau Frobenius algebras
    Eu, Ching-Hwa
    Schedler, Travis
    JOURNAL OF ALGEBRA, 2009, 321 (03) : 774 - 815
  • [10] Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras
    Berest, Yuri
    Chen, Xiaojun
    Eshmatov, Farkhod
    Ramadoss, Ajay
    MATHEMATICAL ASPECTS OF QUANTIZATION, 2012, 583 : 219 - +
123