paper

The Casson-Walker-Lescop Invariant and Link Invariants

arXiv:math/0007064

Abstract

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

The Casson-Walker-Lescop Invariant and Link Invariants · wovepaper