An algorithm to compute minimal Sullivan algebras
Algebraic Topology
2019-10-01 v1
Abstract
In this note, we give an algorithm that starting with a Sullivan algebra gives us its minimal model. This algorithm is a kind of modified AT-model algorithm used to compute in the past other kinds of topology information such as (co)homology, cup products on cohomology and persistent homology. Taking as input a (non-minimal) Sullivan algebra with an ordered finite set of generators preserving the filtration defined on , we obtain as output a minimal Sullivan algebra with the same rational cohomology as .
Cite
@article{arxiv.1909.13852,
title = {An algorithm to compute minimal Sullivan algebras},
author = {Antonio Garvin and Rocio Gonzalez-Diaz and Belen MEdrano},
journal= {arXiv preprint arXiv:1909.13852},
year = {2019}
}