Homology, Homotopy and Applications

Volume 13 (2011)

Number 2

Tensor products of homotopy Gerstenhaber algebras

Pages: 249 – 262

DOI: https://dx.doi.org/10.4310/HHA.2011.v13.n2.a15


Matthias Franz (Department of Mathematics, University of Western Ontario, London, Ontario, Canada)


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

Published 25 January 2012