Making Sullivan algebras minimal through chain contractions

Garvin, Antonio ; Gonzalez-Diaz, Rocio ; Marco Buzunariz, Miguel Angel (Universidad de Zaragoza) ; Medrano, Belen

Resumen: In this note, we provide an algorithm that, starting with a Sullivan algebra gives us its minimal model. More concretely, 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. 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.

Idioma: Inglés

DOI: 10.1007/s00009-020-01670-9

Año: 2021

Publicado en: Mediterranean Journal of Mathematics 18, 43 (2021), [16 pp.]
ISSN: 1660-5446

Factor impacto JCR: 1.305 (2021)

Categ. JCR: MATHEMATICS rank: 96 / 333 = 0.288 (2021) - Q2 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 146 / 267 = 0.547 (2021) - Q3 - T2

Factor impacto CITESCORE: 2.0 -

Factor impacto SCIMAGO: 0.593 - Mathematics (miscellaneous) (Q2)

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)