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On a Quasitoric Virtual Braid Presentation of a Virtual Link
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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.
Abstract
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.
참고문헌 (7)
- Y. Bae., "On the quasitoric braid index of a link" (2014)
- V. G. Bardakov, "The virtual and universal braids", Fund. Math, 184, pp.1~18 (2004)
- S. Kamada, "Braid presentation of virtual knots and welded knots", Osaka J. Math, 44, pp.441~458 (2007)
- L. H. Kau man, "virtual knot theory", European J. Combin, 20, pp.663~690 (1999)
- L. H. Kau man., "Virtual braids", Fund. Math, 184, pp.159~186 (2004)
- L. H. Kau man., "Virtual braids and L-moves", J. Knot Theory Rami cations, 15, pp.773~811 (2006)
- V. O. Manturov, "A combinatorial representation of links by quasitoric braids", Euro-pean J. Combin, 23, pp.207~212 (2002)
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