Blackbox Computation of a ∞ -algebras

  title={Blackbox Computation of a ∞ -algebras},
  author={Mikael Vejdemo-Johansson},
Kadeishvili’s proof of the minimality theorem (Kadeishvili, T.; On the homology theory of fiber spaces, Russian Math. Surveys 35 (3) 1980) induces an algorithm for the inductive computation of an A∞-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∞-algebra structure after a finite amount of computational work. A-infinity, strong homotopy associativity, inductive computation 17A42… CONTINUE READING

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