On ohtsuki’s invariants of integral homology 3-spheres
On ohtsuki’s invariants of integral homology 3-spheres
复制标题
关于积分同调3-球面的ohtsuki不变量
DOI：
10.1007/bf02650726
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
Zhenghan Wang
中科院分区：
文献类型：
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作者：
Xiaosong Lin;Zhenghan Wang
我们提供了一些更显式的公式来方便计算从Reshetikhin-TuraevSU（2）量子不变量中提取的积分同调3球的Ohtsuki有理不变量λn。从我们对λ2的计算中可以得出几个有趣的结果。其中一个说λ2总是一个能被3整除的整数。将这个结果与Murakami所证明的λ1是卡森不变量的6倍的事实进行比较似乎很有趣。其他后果包括一些一般标准区分同源3-球从手术上结使用琼斯多项式。
We provide some more explicit formulae to facilitate the computation of Ohtsuki’s rational invariants λn of integral homology 3-spheres extracted from Reshetikhin-TuraevSU(2) quantum invariants. Several interesting consequences will follow from our computation of λ2. One of them says that λ2 is always an integer divisible by 3. It seems interesting to compare this result with the fact shown by Murakami that λ1 is 6 times the Casson invariant. Other consequences include some general criteria for distinguishing homology 3-spheres obtained from surgery on knots by using the Jones polynomial.