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

1995/09/08 by Lin, Xiao-Song, Wang, Zhenghan
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.q-alg/9509009

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 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.

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