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

Nathan Habegger·Anna Beliakova
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Abstract

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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Nathan Habegger, Anna Beliakova. 1997-08-26. The Casson-Walker-Lescop Invariant as a Quantum 3-manifold Invariant. https://arxiv.org/abs/q-alg/9708029

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