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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2006.1
- 수록면
- 449 - 461 (13page)
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초록· 키워드
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Generalizing twist moves of classical knots, we introduce t(a1; ; am)-moves
of virtual knots for an m{tuple (a1; ; am) of nonzero integers. In [4], M. Goussarov, M.
Polyak and O. Viro introduced finite type invariants of virtual knots and Gauss diagram
formulae giving combinatorial presentations of nite type invariants. By using the Gauss
diagram formulae for the nite type invariants of degree 2, we give a necessary condition
for a virtual long knot K to be transformed to a virtual long knot K0 by a nite sequence
of t(a1; ; am)-moves for an m-tuple (a1; ; am) of nonzero integers with the same sign.
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참고문헌 (13)
참고문헌 신청
/ 1957 / Osaka Math. J. 9 1 : 61 ~ 66
/ 1969 / An enumeration of knots and links : 329 ~ 358
/ 1985 / A polynomial invariant for knots via von Neumann algebras 12 : 103 ~ 112
/ 1987 / State models and the Jones polynomial 26 : 395 ~ 407
/ 1990. / Cohomology of knot spaces Theory of Singularities and It's Applicationsedited by V. I. Arnold Advances in Soviet Mathematics 1
/ 1969 / An enumeration of knots and links : 329 ~ 358
/ 1985 / A polynomial invariant for knots via von Neumann algebras 12 : 103 ~ 112
/ 1987 / State models and the Jones polynomial 26 : 395 ~ 407
/ 1990. / Cohomology of knot spaces Theory of Singularities and It's Applicationsedited by V. I. Arnold Advances in Soviet Mathematics 1
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