Invariance of the Gerstenhaber algebra structure on Tate-Hochschild cohomology

2016/01/07 by Zhengfang Wang, Wang, Zhengfang · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1601.01641

openalex publication_date 2016/01/07 · openalex created_date 2019/06/07 · openalex updated_date 2026/07/28

Abstract

Keller proved in 1999 that the Gerstenhaber algebra structure on the Hochschild cohomology of an algebra is an invariant of the derived category. In this paper, we adapt his approach to show that the Gerstenhaber algebra structure on the Tate-Hochschild cohomology of an algebra is preserved under singular equivalences of Morita type with level, a notion introduced by the author in previous work.

Cited by

• Singular Hochschild cohomology and algebraic string operations

Related

• Gerstenhaber bracket on the Hochschild cohomology via an arbitrary\n resolution
• Gerstenhaber algebra and Deligne's conjecture on Tate-Hochschild cohomology
• Singular Hochschild Cohomology and Gerstenhaber Algebra Structure
• G-Structure on the cohomology of Hopf algebras
• A remark on Hochschild cohomology and Koszul duality