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arXiv · 1912.00472

Algorithms in $A_\infty$-algebras

Mikael Vejdemo-Johansson
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Abstract

Building on Kadeishvili's original theorem inducing $A_\infty$-algebra structures on the homology of dg-algebras, several directions of algorithmic research in $A_\infty$-algebras have been pursued. In this paper we will survey work done on calculating explicit $A_\infty$-algebra structures from homotopy retractions; in group cohomology; and in persistent homology.

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Mikael Vejdemo-Johansson. 2019-12-01. Algorithms in $A_\infty$-algebras. https://doi.org/10.1515/gmj-2018-0057

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