On p-adic propreties of the Witten-Reshetikhin-Turaev invariant

On p-adic propreties of the Witten-Reshetikhin-Turaev invariant
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论 Witten-Reshetikhin-Turaev 不变量的 p-adic 性质

DOI:
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发表时间:
1998
期刊:
arXiv: Quantum Algebra
影响因子:
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通讯作者:
L. Rozansky
L. Rozansky
中科院分区:
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文献类型:
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作者:
L. Rozansky

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利用有色Jones多项式的Melvin-Morton展开式的性质,证明了平凡的联络贡献p-ad收敛到有理同调球面的So(3)Witten-Reshetikhin-Turaev不变量,正如R.Lawrence猜想的那样。
We use the properties of the Melvin-Morton expansion of the colored Jones polynomial in order to prove that the trivial connection contribution converges p-adicly to the SO(3) Witten-Reshetikhin-Turaev invariant of rational homology spheres, as it was conjectured by R. Lawrence.