On Two Kinds of Clasp-Pass Moves for Knots
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We introduce two kinds of clasp-pass moves for knots called self, nonself-clasp pass moves (SCP, NCP-moves) related to self, nonself-crossings. Moreover, we introduce another two kinds of clasp-pass moves for knots called clasp-pass moves of types II, X (CPII, CPX-moves) related to clasp disks. In this paper, we show that knots K and K′ are related by a single SCP-move (resp. NCP-move) if and only if K and K′ are related by a single CPII-move (resp. CPX-move).
Abstract
We introduce two kinds of clasp-pass moves for knots called self, nonself-clasp pass moves (SCP, NCP-moves) related to self, nonself-crossings. Moreover, we introduce another two kinds of clasp-pass moves for knots called clasp-pass moves of types II, X (CPII, CPX-moves) related to clasp disks. In this paper, we show that knots K and K′ are related by a single SCP-move (resp. NCP-move) if and only if K and K′ are related by a single CPII-move (resp. CPX-move).
참고문헌 (10)
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