During the preparation of this paper,the authors were supported by NSFC(No.11671139),STCSM(No.13dz2260400);the Fundamental Research Funds for the Central Universities.The authors thanks their supervisor Prof.Guodong Zhou for his valuable suggestions and a lot of help.
We determine the Gerstenhaber algebra structure on the Hochschild cohomology ring of Temperley–Lieb algebras in this paper.