Universal invariants, the Conway polynomial and the Casson-Walker-Lescop invariant
Geometric Topology
2026-03-30 v2
Abstract
We give a general surgery formula for the Casson-Walker-Lescop invariant of closed 3-manifolds, seen as the leading term of the LMO invariant, in a purely diagrammatic and combinatorial way. This provides a new viewpoint on a formula established by C. Lescop for her extension of the Walker invariant. A central ingredient in our proof is an explicit identification of the coefficients of the Conway polynomial as combinations of coefficients in the Kontsevich integral. This latter result relies on general \lq factorization formulas\rq\, for the Kontsevich integral coefficients.
Keywords
Cite
@article{arxiv.2003.05527,
title = {Universal invariants, the Conway polynomial and the Casson-Walker-Lescop invariant},
author = {Adrien Casejuane and Jean-Baptiste Meilhan},
journal= {arXiv preprint arXiv:2003.05527},
year = {2026}
}
Comments
27 pages. Final version, to appear in Bull. Soc. Math. Fr