Weak Parities and Functorial Maps
- Авторы: Nikonov I.1
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Учреждения:
- Department of Mechanics and Mathematics, Moscow State University
- Выпуск: Том 214, № 5 (2016)
- Страницы: 699-717
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237493
- DOI: https://doi.org/10.1007/s10958-016-2807-0
- ID: 237493
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Аннотация
We consider functorial maps and weak parities that are two equivalent descriptions of one object. Functorial maps allow one to transform knots and extend knot invariants with these transformations. We introduce maximal weak parity and calculate it for knots in a given closed oriented surface. The weak parity induce a projection from virtual knots onto classical ones.
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Об авторах
I. Nikonov
Department of Mechanics and Mathematics, Moscow State University
Автор, ответственный за переписку.
Email: nikonov@mech.math.msu.su
Россия, Moscow