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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 183 - 202 (20page)
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초록· 키워드
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\Delta -moves are closely related with a Vassiliev invariant of degree 2. For clas-sical knots, M. Okada showed that the second coe cients of the Conway polynomials oftwo knots di er by 1 if the two knots are related by a single \Delta -moves. The rst authorextended the Okada's result for virtual knots by using a Vassiliev invariant of virtual knotsof type 2 which is induced from the Kau man polynomial of a virtual knot. The arrowpolynomial is a generalization of the Kau man polynomial. We will generalize this resultby using Vassiliev invariants of type 2 induced from the arrow polynomial of a virtual knotand give a lower bound for the number of \Delta -movestransforming K1 to K2 if two virtualknots K1 and K2 are related by a nite sequence of \Delta-moves.
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참고문헌 (27)
참고문헌 신청
J. S. Birman / 1993 / Knot polynomials and Vassiliev's invariants / Invent. Math 111:225~270
H. A. Dye / 2009 / Virtual crossing number and the arrow polynomial / J. Knot Theory Ramifications 18(10):1335~1357
M. Goussarov / 2000 / Finite type invariants of classical and virtual knots / Topology 39:1045~1068
M. N. Goussarov / 1994 / Topol-ogy of Manifolds and Varieties / Amer. Math. Soc. :173~192
M. N. Goussarov / 1999 / Finite type invariants and n-equivalence of 3-manifolds / C. R. Acad. Sci. Paris, Topologie/Topology 329:517~522
H. A. Dye / 2009 / Virtual crossing number and the arrow polynomial / J. Knot Theory Ramifications 18(10):1335~1357
M. Goussarov / 2000 / Finite type invariants of classical and virtual knots / Topology 39:1045~1068
M. N. Goussarov / 1994 / Topol-ogy of Manifolds and Varieties / Amer. Math. Soc. :173~192
M. N. Goussarov / 1999 / Finite type invariants and n-equivalence of 3-manifolds / C. R. Acad. Sci. Paris, Topologie/Topology 329:517~522
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