Batalin-Vilkovisky structure on Hochschild cohomology with coefficients in the dual algebra

Marco Armenta, Samuel Leblanc

We prove that Hochschild cohomology with coefficients in $A^*=\Hom_k(A,k)$ under conditions on the algebra structure of $A^{\ast }$ is a Batalin-Vilkovisky algebra. We also show that for…