Мақаланы E-mail арқылы жіберу Computing Intersection Numbers and Bases of Cohomology Groups for Triangulated Closed Three-Dimensional Manifolds
- Авторлар: Yakovlev E.1, Epifanov V.2
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Мекемелер:
- 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
- Шығарылым: Том 40, № 5 (2019)
- Беттер: 690-698
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204547
- DOI: https://doi.org/10.1134/S1995080219050226
- ID: 204547
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
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.
Негізгі сөздер
Авторлар туралы
E. Yakovlev
Department of Fundamental Mathematics, Faculty of Informatics, Mathematics, and Computer Science
Хат алмасуға жауапты Автор.
Email: eyakovlev@hse.ru
Ресей, 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
Хат алмасуға жауапты Автор.
Email: vepifanov92@gmail.com
Ресей, Nizhny Novgorod, 603950
