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Virtual links with normal diagrams

임영호
영남수학회 (Youngnam Mathematical Society)|2009.12|East Asian Mathematical Journal|제25권 제4호|pp. 487-494

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참고문헌

키워드

virtual linkmagnetic graphnormal diagramJones-Kauffman polynomialpolynomial invariant
주제분류수학

초록

We show that if two virtual link diagrams which are normal are equivalent under generalized Reidemeister moves, then they are equivalent under generalized Reidemeister moves preserving the normality of diagrams.

Abstract

We show that if two virtual link diagrams which are normal are equivalent under generalized Reidemeister moves, then they are equivalent under generalized Reidemeister moves preserving the normality of diagrams.

참고문헌 (8)

  1. M. Goussarov, "Finite type invariants of classical and virtual knots", Topology, 39, pp.1045~1068 (2000)
  2. N. Kamada, "On the Jones polynomials of checkerboard colorable virtual links", Osaka J. Math, 39, pp.325~333 (2002)
  3. N. Kamada, "Some relations on Miyazawa's virtual knot invariant", Topology Appl, 154, pp.1417~1429 (2007)
  4. N. Kamada, "Abstract link diagrams and virtual knots", J. Knot Theory Rami cations, 9, pp.93~106 (2000)
  5. N. Kamada, "A virtualized skein relation for Jones polyno-mials", Illinois J. Math, 46, pp.497~475 (2002)
  6. N. Kamada, "A 2-variable polynomial invariant for a virtual link de-rived from magnetic graphs", Hiroshima Math. J, 35, pp.309~326 (2005)
  7. L. H. Kau man, "Knots and Phisics", World Scientic, ~ (1992)
  8. L. H. Kau man, "Virtual knot thoery", European J. Combin, 20, pp.663~690 (1999)

관련 논문AI추천

The Forbidden Number of a KnotAlissa S. Crans, Blake Mellor, Sandy Ganzell경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제2호Forbidden Detour Number on Virtual KnotKazuhiro Ichihara, Shun Yoshiike경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제1호The Second Reidemeister Moves and Colorings of Virtual Knot Diagrams김윤재, 정명주경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2022 · 제62권 제2호Finite Type Invariants and Virtual TwistMoves of Virtual KnotsMyeong-Ju Jeong경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호On a Quasitoric Virtual Braid Presentation of a Virtual Link배용주, 서석만경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호Generalized Alexander Polynomial for Virtual Links via Parity김세라, 김준오영남수학회 · East Asian Mathematical Journal2025 · 제41권 제5호

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