Tensor products of homotopy Gerstenhaber algebras

Mathematics – Algebraic Topology

Scientific paper

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13 pages; new Remark 5.4, minor changes

Scientific paper

10.4310/HHA.2011.v13.n2.a15

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.

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