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• W1630876088 abstract "Generalizing twist moves of classical knots, we introduce -moves of virtual knots for an -tuple () of nonzero integers. In [4], M. Goussarov, M. Polyak and O. Viro introduced finite type invariants of virtual knots and Gauss diagram formulae giving combinatorial presentations of finite type invariants. By using the Gauss diagram formulae for the finite type invariants of degree 2, we give a necessary condition for a virtual long knot K to be transformed to a virtual long knot K' by a finite sequence of -moves for an -tuple () of nonzero integers with the same sign." @default.
• W1630876088 created "2016-06-24" @default.
• W1630876088 creator A5042002169 @default.
• W1630876088 date "2006-09-01" @default.
• W1630876088 modified "2023-09-26" @default.
• W1630876088 title "Finite Type Invariants and Virtual Twist Moves of Virtual Knots" @default.
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