Аннотация
We construct a group σn4 corresponding to the motion of points in R 3 from the point of view of Delaunay triangulations. We study homomorphisms from pure braids on n strands to the product of copies of σn4. We will also study the group of pure braids in R 3, which is described by a fundamental group of the restricted configuration space of R 3, and define the group homomorphism from the group of pure braids in R 3 to σn4. At the end of this paper, we give some comments about relations between the restricted configuration space of R 3 and triangulations of the 3-dimensional ball and Pachner moves.
Язык оригинала | английский |
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Номер статьи | 1950063 |
Число страниц | 20 |
Журнал | Journal of Knot Theory and its Ramifications |
Том | 28 |
Номер выпуска | 10 |
DOI | |
Состояние | Опубликовано - 1 сен 2019 |