Article
An algorithm to compute minimal Sullivan algebras
Author/s | Garvín, Antonio
González Díaz, Rocío ![]() ![]() ![]() ![]() ![]() ![]() ![]() Medrano Garfia, Belén ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2019 |
Deposit Date | 2020-11-05 |
Published in |
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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 ... 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. |
Citation | Garvín, A., González Díaz, R. y Medrano Garfia, B. (2019). An algorithm to compute minimal Sullivan algebras. ArXiv.org, arXiv:1909.13852v1 |
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