Kyungpook Mathematical Journal

  • 제55권1호
  • /
  • Pages.191-203
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  • 2015
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On a Quasitoric Virtual Braid Presentation of a Virtual Link

  • Bae, Yongju (Department of Mathematics, Kyungpook National University) ;
  • Seo, Seogman (Department of Mathematics, Kyungpook National University)
  • 투고 : 2015.01.19
  • 심사 : 2015.02.27
  • 발행 : 2015.03.23
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초록

We introduce a quasitoric virtual braid and show that every virtual link can be obtained by the closure of a quasitoric virtual braid. Also, we show that the set of quasitoric virtual braids with n strands forms a group which is a subgroup of the n-virtual braid group.

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참고문헌

  1. Y. Bae and S. Seo, On the quasitoric braid index of a link, preprint (2014).
  2. V. G. Bardakov, The virtual and universal braids, Fund. Math., 184(2004), 1-18. https://doi.org/10.4064/fm184-0-1
  3. S. Kamada, Braid presentation of virtual knots and welded knots, Osaka J. Math., 44(2007), 441-458.
  4. L. H. Kauffman, virtual knot theory , European J. Combin., 20(1999), 663-690. https://doi.org/10.1006/eujc.1999.0314
  5. L. H. Kauffman and S. Lambropoulou, Virtual braids, Fund. Math., 184(2004), 159-186. https://doi.org/10.4064/fm184-0-11
  6. L. H. Kauffman and S. Lambropoulou, Virtual braids and L-moves, J. Knot Theory Ramifications, 15(2006), 773-811. https://doi.org/10.1142/S0218216506004750
  7. V. O. Manturov, A combinatorial representation of links by quasitoric braids, European J. Combin., 23(2002), 207-212. https://doi.org/10.1006/eujc.2001.0546