An algorithm to compute minimal Sullivan algebras

Antonio Garvin; Rocio Gonzalez-Diaz; Belen MEdrano

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arXiv · 1909.13852

An algorithm to compute minimal Sullivan algebras

Antonio Garvin·Rocio Gonzalez-Diaz·Belen MEdrano

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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 $A$ with an ordered finite set of generators preserving the filtration defined on $A$, we obtain as output a minimal Sullivan algebra with the same rational cohomology as $A$.

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Antonio Garvin, Rocio Gonzalez-Diaz, Belen MEdrano. 2019-09-30. An algorithm to compute minimal Sullivan algebras. https://arxiv.org/abs/1909.13852

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