Solving unoriented tangle equations involving 4-plats

Solving unoriented tangle equations involving 4-plats
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DOI:
10.1142/s0218216505004202
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发表时间:
2005-12-01
影响因子:
0.5
通讯作者:
Darcy, IK
Darcy, IK
中科院分区:
数学4区
文献类型:
--
作者:
Darcy, IK

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无向缠结方程组 N(U + (f1)/(g1)) = K-1 和 N(U + (f2)/(g2)) = K-2 完全求解缠结 U 和 (f2)/(g2) 作为 (f1)/(g1) 的函数,其中 K-1 和 K-2 是 4 平面,并且 (f1)/(g1) 和 (f2)/(g2) 有理数缠结使得垂直 条 f(1)g(2) - g(1)f(2) 垂直条 > 1。
The system of unoriented tangle equations N(U + (f1)/(g1)) = K-1 and N(U + (f2)/(g2)) = K-2 is completely solved for the tangles U and (f2)/(g2) as a function of (f1)/(g1) where K-1 and K-2 are 4-plats, and (f1)/(g1) and (f2)/(g2) rational tangles such that vertical bar f(1)g(2) - g(1)f(2)vertical bar > 1.