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

Author

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

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.

Keywords

homotopy Gerstenhaber algebra, Hirsch algebra, tensor product, Mayer–Vietoris double complex

2010 Mathematics Subject Classification

16E45, 18D50, 57T30

Published 25 January 2012