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On Ohtsuki's invariants of integral homology 3-spheres, I

Xiao-Song Lin·Zhenghan Wang
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Abstract

An attempt is made to conceptualize the derivation as well as to facilitate the computation of Ohtsuki's rational invariants $λ_n$ of integral homology 3-spheres extracted from Reshetikhin-Turaev SU(2) quantum invariants. Several interesting consequences will follow from our computation of $λ_2$. One of them says that $λ_2$ is always an integer divisible by 3. It seems interesting to compare this result with the fact shown by Murakami that $λ_{1}$ 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.

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BibTeXRIS

Xiao-Song Lin, Zhenghan Wang. 1996-04-26. On Ohtsuki's invariants of integral homology 3-spheres, I. https://arxiv.org/abs/q-alg/9509009

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