Enviar artigo por via de e-mail Computing Intersection Numbers and Bases of Cohomology Groups for Triangulated Closed Three-Dimensional Manifolds
- Autores: Yakovlev E.1, Epifanov V.2
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Afiliações:
- Department of Fundamental Mathematics, Faculty of Informatics, Mathematics, and Computer Science
- Department of Algebra, Geometry and Discrete Mathematics, Institute of Information Technology, Mathematics and Mechanics
- Edição: Volume 40, Nº 5 (2019)
- Páginas: 690-698
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204547
- DOI: https://doi.org/10.1134/S1995080219050226
- ID: 204547
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Resumo
We solve some computational problems for triangulated closed three-dimensional manifolds using groups of simplicial homology and cohomology modulo 2. Two efficient algorithms for computing intersection numbers of 1- and 2-dimensional cycles are developed. Using these algorithms it is possible to construct a basis of the cohomology group from a given basis of the homology group of complementary dimension.
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E. Yakovlev
Department of Fundamental Mathematics, Faculty of Informatics, Mathematics, and Computer Science
Autor responsável pela correspondência
Email: eyakovlev@hse.ru
Rússia, ul. Bol’shaya Pecherskaya 25/12, Nizhny Novgorod, 603155
V. Epifanov
Department of Algebra, Geometry and Discrete Mathematics, Institute of Information Technology, Mathematics and Mechanics
Autor responsável pela correspondência
Email: vepifanov92@gmail.com
Rússia, Nizhny Novgorod, 603950
