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arxiv: q-alg/9708029 · v1 · submitted 1997-08-26 · q-alg · math.QA

The Casson-Walker-Lescop Invariant as a Quantum 3-manifold Invariant

classification q-alg math.QA
keywords invariantcasson-walker-lescopdeterminedle-murakami-ohtsukimanifoldbetticasson-walkerclosed
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We give a direct computational proof that the degree 1 part of the Le-Murakami-Ohtsuki invariant of a closed oriented 3-manifold M is determined by the Casson-Walker-Lescop invariant. Moreover, if the first Betti number of M is equal to 2, the Le-Murakami-Ohtsuki invariant is determined by the Lescop generalization of the Casson-Walker invariant.

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