Parity and projection from virtual knots to classical knots

We construct various functorial maps (projections) from virtual knots to classical knots. These maps are defined on diagrams of virtual knots; in terms of Gauss diagram each of them can be represented as a deletion of some chords. The construction relies upon the notion of parity. As corollaries, we prove that the minimal classical crossing number for classical knots. Such projections can be useful for lifting invariants from classical knots to virtual knots. Different maps satisfy different properties. © World Scientific Publishing Company.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
9
Язык
Английский
Страницы
-
Статус
Опубликовано
Подразделение
-
Номер
1350044
Том
22
Год
2013
Организации
  • 1 Peoples' Friendship University of Russia, Ordjonikidze St., 3, Moscow 117198, Russian Federation
Ключевые слова
bridge number; crossing; crossing number; group; Knot; projection; surface; virtual knot
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/2030/