지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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Every (1,1)-knot is represented by a 4-tuple of integers (a,b, c,r), where a>0, b≥0, c≥0, d=2a+b+c,r ∈ Z_d, and it is well known that all 2-bridge knots and torus knots are (1,1)-knots. In this paper, we describe some conditions for 4-tuples which determine 2-bridge knots and determine all 4-tuples representing any given 2-bridge knot.
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참고문헌 (24)
참고문헌 신청
A. Cattabriga / 2004 / All strongly-cyclic branched coverings of (1, 1)-knots are Dunwoody manifolds / J. London Math. Soc. (2) 70 (2) : 512 ~ 528
A. Cavicchioli / 2001 / On a conjecture of M. J. Dunwoody / Algebra Colloq 8 (2) : 169 ~ 218
C. Gagliardi / 1981 / Extending the concept of genus to dimension n / Proc. Amer. Math. Soc 81 (3) : 473 ~ 481
C. Hayashi / 1999 / Genus one 1-bridge positions for the trivial knot and cabled knots / Math. Proc. Cambridge Philos. Soc 125 (1) : 53 ~ 65
D. Gabai / 1989 / Surgery on knots in solid tori / Topology 28 (1) : 1 ~ 6
A. Cavicchioli / 2001 / On a conjecture of M. J. Dunwoody / Algebra Colloq 8 (2) : 169 ~ 218
C. Gagliardi / 1981 / Extending the concept of genus to dimension n / Proc. Amer. Math. Soc 81 (3) : 473 ~ 481
C. Hayashi / 1999 / Genus one 1-bridge positions for the trivial knot and cabled knots / Math. Proc. Cambridge Philos. Soc 125 (1) : 53 ~ 65
D. Gabai / 1989 / Surgery on knots in solid tori / Topology 28 (1) : 1 ~ 6
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