Algorithms in $A_\infty$-algebras
K-Theory and Homology
2019-12-03 v1 Algebraic Topology
Abstract
Building on Kadeishvili's original theorem inducing -algebra structures on the homology of dg-algebras, several directions of algorithmic research in -algebras have been pursued. In this paper we will survey work done on calculating explicit -algebra structures from homotopy retractions; in group cohomology; and in persistent homology.
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Cite
@article{arxiv.1912.00472,
title = {Algorithms in $A_\infty$-algebras},
author = {Mikael Vejdemo-Johansson},
journal= {arXiv preprint arXiv:1912.00472},
year = {2019}
}
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7 pages