The Casson-Walker-Lescop Invariant and Link Invariants

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Formulas previously presented for the Casson-Walker invariant are generalized to Lescop's extension. These formulas in terms of linking numbers and surgery coefficients compute the change in Lescop's invariant under crossing changes in a framed link presenting a 3-manifold. This leads us to revisit an old formula for a coefficient of the Conway polynomial. Finally we compute Lescop's invariant of several lens spaces and deduce some values for Dedekind sums.
15 pages, 18 figures

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Geometric Topology, Number Theory, 57M (primary), 11 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/59556

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0007064
 http://arxiv.org/abs/math/0007064

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arXiv