Abstract
Starting from a chain contraction (a special chain homotopy equivalence) connecting a differential graded algebra A with a differential graded module M, the so-called homological perturbation technique “tensor trick” [8] provides a family of maps, {m i }i ≥ 1, describing an A ∞ -algebra structure on M derived from the one of algebra on A. In this paper, taking advantage of some annihilation properties of the component morphisms of the chain contraction, we obtain a simplified version of the existing formulas of the mentioned A ∞ -maps, reducing the computational cost of computing m n from O(n!2) to O(n!).
Partially supported by the PAICYT research project FQM-296 and by a project of University of the Basque Country “EHU06/05”.
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Berciano, A., Jiménez, M.J., Real, P. (2007). On the Computation of A ∞ -Maps. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2007. Lecture Notes in Computer Science, vol 4770. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75187-8_5
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DOI: https://doi.org/10.1007/978-3-540-75187-8_5
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