Publication: The Casson-Walker-Lescop invariant as a quantum 3-manifold invariant
The Casson-Walker-Lescop invariant as a quantum 3-manifold invariant
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Habegger, N., & Beliakova, A. (2000). The Casson-Walker-Lescop invariant as a quantum 3-manifold invariant. Journal of Knot Theory and Its Ramifications, 9(4), 459–470. https://doi.org/10.1142/S0218216500000232
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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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Habegger, N., & Beliakova, A. (2000). The Casson-Walker-Lescop invariant as a quantum 3-manifold invariant. Journal of Knot Theory and Its Ramifications, 9(4), 459–470. https://doi.org/10.1142/S0218216500000232