논문KCI 등재
On Minimal Unknotting Crossing Data for Closed Toric Braids
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Unknotting numbers for torus knots and links are well known. In this paper, we present a new approach to determine the position of unknotting number crossing changes in a toric braid such that the closure of the resultant braid is equivalent to the trivial knot or link. Further we give unknotting numbers of more than $600$ knots.
Abstract
Unknotting numbers for torus knots and links are well known. In this paper, we present a new approach to determine the position of unknotting number crossing changes in a toric braid such that the closure of the resultant braid is equivalent to the trivial knot or link. Further we give unknotting numbers of more than $600$ knots.
참고문헌 (9)
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- P. Kronheimer, "Gauge theory for embedded surfaces, II", Topology, 34, pp.37~97 (1995)
- Y. Nakanishi, "Unknotting numbers and knot diagrams with the minimum crossings", Math. Sem. Notes Kobe Univ., 11, pp.257~258 (1983)
- V. Siwach, "A sharp upper bound for region unknotting number of torus knots", J. Knot Theory Ramifications, 22(5), pp.21~ (2013)
- V. Siwach, "An unknotting sequence for torus knots", Topology Appl, 196(B), pp.668~674 (2015)
관련 논문AI추천
Sharp-unknotting Number of a Torus KnotTaizo Kanenobu경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제3호On the Semi-threading of Knot Diagrams with Minimal Overpasses김동석, 정슬기, 정재욱경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제2호On the 2-bridge knots of Dunwoody (1,1)-knots김수환, 김양곡대한수학회 · 대한수학회보2011 · 제48권 제1호ON THE QUASITORIC BRAID INDEX OF A LINK배영주, 서석만대한수학회 · 대한수학회지2015 · 제52권 제6호On a Quasitoric Virtual Braid Presentation of a Virtual Link배용주, 서석만경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호On the Braid Index of Kanenobu KnotsHideo Takioka경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호
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