A Graphical construction of the sl.3/invariant for virtual knots

We construct a graph-valued analogue of the Homflypt sl(3) invariant for virtual knots. The restriction of this invariant for classical knots coincides with the usual Homflypt sl.3/invariant, and for virtual knots and graphs it provides new information that allows one to prove minimality theorems and to construct newinvariants for free knots. Anovel feature of this approach is that some knots are of suficient complexity that they evaluate themselves in the sense that the invariant is the knot itself seen as a combinatorial structure. © 2014, European Mathematical Society.

Авторы
Kauffman L.H.1 , Manturov V.O. 2
Редакторы
-
Журнал
Издательство
European Mathematical Society Publishing House
Номер выпуска
4
Язык
Английский
Страницы
523-539
Статус
Опубликовано
Подразделение
-
Номер
-
Том
5
Год
2014
Организации
  • 1 Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, (m/c 249), 851 South Morgan Street, Chicago, IL 60607-7045, United States
  • 2 Chair of Differential Equations, and Mathematical Physics, Friendship University of Russia, Ordjonikidze St., 3, Moscow, 117198, Russian Federation
Ключевые слова
Graph; Invariant; Knot; Kuperberg bracket; Link; Quantum invariant; Virtual knot
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4941/