Blackbox computation of $A_\infty$-algebras
Abstract
Description
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.
11 pages, accepted to the Georgian Journal of Mathematics: Kadeishvili Festschrift issue, tweaked bibliography
11 pages, accepted to the Georgian Journal of Mathematics: Kadeishvili Festschrift issue, tweaked bibliography