Homology, Homotopy and Applications
Volume 13 (2011)
Tensor products of homotopy Gerstenhaber algebras
Pages: 249 – 262
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.
homotopy Gerstenhaber algebra; Hirsch algebra; tensor product; Mayer–Vietoris double complex
2010 Mathematics Subject Classification
16E45, 18D50, 57T30