Year: 2018
Type: article
Abstract: Based on Kadeishvili’s original theorem inducing A ∞ {A_{\infty}} -algebra structures on the homology of dg-algebras, several directions of algorithmic research in A ∞ {A_{\infty}} -algebras have been pursued. In this paper, we survey the work done on calculating explicit A ∞ {A_{\infty}} -algebra structures from homotopy retractions, in group cohomology and in persistent homology.
Source: Georgian Mathematical Journal
Author: Mikael Vejdemo-Johansson
Institution: College of Staten Island
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2895068416