Blackbox computation of $A_\infty$-algebras

Details Blackbox computation of $A_\infty$-algebras Blackbox computation of $A_\infty$-algebras

2008-07-24

arxiv.org/abs/0807.3869v4

Mathematics

Rings and Algebras

11 pages, accepted to the Georgian Journal of Mathematics: Kadeishvili Festschrift issue, tweaked bibliography

Scientific paper

Kadeishvili's proof of the minimality theorem induces an algorithm for the inductive computation of an $A_\infty$-algebra structure on the homology of a dg-algebra. In this paper, we prove that for one class of dg-algebras, the resulting computation will generate a complete $A_\infty$-algebra structure after a finite amount of computational work.

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