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.
机构:East China Normal Univ, Dept Math, Res Ctr Operator Algebras, Shanghai Key Lab PMMP, Shanghai 200062, Peoples R China
Lin, Huaxin
Sun, Wei
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East China Normal Univ, Dept Math, Res Ctr Operator Algebras, Shanghai Key Lab PMMP, Shanghai 200062, Peoples R ChinaEast China Normal Univ, Dept Math, Res Ctr Operator Algebras, Shanghai Key Lab PMMP, Shanghai 200062, Peoples R China