TOPOLOGICAL IMITATION, MUTATION AND THE QUANTUM SU(2) INVARIANTS

TOPOLOGICAL IMITATION, MUTATION AND THE QUANTUM SU(2) INVARIANTS
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拓扑模仿、变异和量子 SU(2) 不变量

DOI:
10.1142/s0218216594000058
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发表时间:
1994
影响因子:
0.5
通讯作者:
A. Kawauchi
A. Kawauchi
中科院分区:
数学4区
文献类型:
--
作者:
A. Kawauchi

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证明了任意两个可变的闭定向三维流形具有相同的量子SU(2)不变量。利用拓扑模拟的构造性论证,对任意给定的具有一定任意性的等距群的定向闭三维流形,构造了其量子SU(2)不变量与原不变量接近的多个变双曲模拟.
It is proved that any two mutative closed oriented 3-manifolds have the same quantum SU(2) invariant. By a constructive argument of topological imitation, we construct finitely many mutative hyperbolic imitations of any given closed oriented 3-manifold with certain arbitrariness of isometry groups whose quantum SU(2) invariants are close to the original one.