The H(n)-move is an unknotting operation for virtual and welded links

Autor: Ali, Danish, Yang, Zhiqing, Sheikh, Mohd Ibrahim
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1142/S021821652350061X
Popis: An unknotting operation is a local move such that any knot diagram can be transformed into a diagram of the trivial knot by a finite sequence of these operations plus some Reidemeister moves. It is known that the H(n)-move is an unknotting operation for classical knots and links. In this paper, we extend the classical unknotting operation H(n)-move to virtual knots and links. Virtualization and forbidden move are well-known unknotting operations for virtual knots and links. We also show that virtualization and forbidden move can be realized by a finite sequence of generalized Reidemeister moves and H(n)-moves.
Databáze: arXiv