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Artículo
Geometric Objects and Cohomology Operations
dc.creator | González Díaz, Rocío | es |
dc.creator | Real Jurado, Pedro | es |
dc.date.accessioned | 2021-09-29T09:57:52Z | |
dc.date.available | 2021-09-29T09:57:52Z | |
dc.date.issued | 2012 | |
dc.identifier.citation | González Díaz, R. y Real Jurado, P. (2012). Geometric Objects and Cohomology Operations. ArXiv.org, arXiv:1206.4345 | |
dc.identifier.uri | https://hdl.handle.net/11441/126300 | |
dc.description.abstract | Cohomology operations (including the cohomology ring) of a geometric object are finer algebraic invariants than the homology of it. In the literature, there exist various algorithms for computing the homology groups of simplicial complexes ([Mun84], [DE95,ELZ00], [DG98]), but concerning the algorithmic treatment of cohomology operations, very little is known. In this paper, we establish a version of the incremental algorithm for computing homology given in [ELZ00], which saves algebraic information, allowing us the computation of the cup product and the effective evaluation of the primary and secondary cohomology operations on the cohomology of a finite simplicial complex. The efficient combinatorial descriptions at cochain level of cohomology operations developed in [GR99,GR99a] are essential ingredients in our method. We study the computational complexity of these processes and a program in Mathematica for cohomology computations is presented. | es |
dc.description.sponsorship | Junta de Andalucía FQM-296 | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia PB98-1621-C02-02 | es |
dc.format | application/pdf | es |
dc.format.extent | 11 | es |
dc.language.iso | eng | es |
dc.publisher | Cornell University | es |
dc.relation.ispartof | ArXiv.org, arXiv:1206.4345 | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Geometric Objects and Cohomology Operations | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | FQM-296 | es |
dc.relation.projectID | PB98–1621–C02–02 | es |
dc.relation.publisherversion | https://arxiv.org/abs/1206.4345 | es |
dc.journaltitle | ArXiv.org | es |
dc.publication.issue | arXiv:1206.4345 | es |
dc.contributor.funder | Junta de Andalucía | es |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | es |