The Casson-Walker-Lescop Invariant and Link Invariants
Geometric Topology
2007-05-23 v1 Number Theory
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.
Cite
@article{arxiv.math/0007064,
title = {The Casson-Walker-Lescop Invariant and Link Invariants},
author = {Jeff Johannes},
journal= {arXiv preprint arXiv:math/0007064},
year = {2007}
}
Comments
15 pages, 18 figures