Article
Making Sullivan Algebras Minimal Through Chain Contractions
Author/s | Garvin, Antonio
González Díaz, Rocío Marco, Miguel Ángel Medrano Garfia, Belén |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2021 |
Deposit Date | 2021-05-26 |
Published in |
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Abstract | In this note, we provide an algorithm that, starting with a Sullivan
algebra gives us its minimal model. More concretely, taking as input a (nonminimal)
Sullivan algebra A with an ordered finite set of generators preserving ... In this note, we provide an algorithm that, starting with a Sullivan algebra gives us its minimal model. More concretely, taking as input a (nonminimal) 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. This algorithm is a kind of modified AT-model algorithm used, in the past, to compute a chain contraction providing other kinds of topological information such as (co)homology, cup products on cohomology and persistent homology. |
Funding agencies | Ministerio de Ciencia, Innovación y Universidades (MICINN). España |
Project ID. | PID2019-107339GB-100 |
Citation | Garvin, A., González Díaz, R., Marco, M.Á. y Medrano Garfia, B. (2021). Making Sullivan Algebras Minimal Through Chain Contractions. Mediterranean Journal of Mathematics, 18 (2), 43/1-43/15. |
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