Homology, Homotopy and Applications

Tensor products of homotopy Gerstenhaber algebras

Matthias Franz

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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.

Article information

Source
Homology Homotopy Appl., Volume 13, Number 2 (2011), 249-262.

Dates
First available in Project Euclid: 30 April 2012

Permanent link to this document
https://projecteuclid.org/euclid.hha/1335806752

Mathematical Reviews number (MathSciNet)
MR2854337

Zentralblatt MATH identifier
1246.57083

Subjects
Primary: 57T30: Bar and cobar constructions [See also 18G55, 55Uxx] 16E45: Differential graded algebras and applications 18D50: Operads [See also 55P48]

Keywords
Homotopy Gerstenhaber algebra Hirsch algebra tensor product Mayer–Vietoris double complex

Citation

Franz, Matthias. Tensor products of homotopy Gerstenhaber algebras. Homology Homotopy Appl. 13 (2011), no. 2, 249--262. https://projecteuclid.org/euclid.hha/1335806752


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