Batalin-Vilkovisky structure on Hochschild cohomology of zigzag algebra of type ${\tilde{\mathbf{A}}}_1$

Bo Hou, Jin Gao

In this paper, we study the Batalin-Vilkovisky structure on the Hochschild cohomology of quantum zigzag algebras $A_q$ of type ${\tilde{\mathbf{A}}}_1$. We first calculate th…