Tensor products of homotopy Gerstenhaber algebras

Abstract

On the tensor product of two homotopy Gerstenhaber algebras we construct a Hirsch algebra structure which extends the canonical dg algebra structure. Our result applies more generally to tensor products of "level 3 Hirsch algebras" and also to the Mayer-Vietoris double complex.Comment: 13 pages; new Remark 5.4, minor change