A multivariable Casson-Lin type invariant
Geometric Topology
2019-09-23 v2
Abstract
We introduce a multivariable Casson-Lin type invariant for links in . This invariant is defined as a signed count of irreducible representations of the link group with fixed meridional traces. For 2-component links with linking number one, the invariant is shown to be a sum of multivariable signatures. We also obtain some results concerning deformations of representations of link groups.
Cite
@article{arxiv.1805.03050,
title = {A multivariable Casson-Lin type invariant},
author = {Léo Bénard and Anthony Conway},
journal= {arXiv preprint arXiv:1805.03050},
year = {2019}
}
Comments
39 pages, 6 figures; v2: The statement of Theorem 1.1 has changed: our invariant is not equal to the multivariable signature but to a sum of multivariable signatures; the proof has been amended accordingly, final version, to appear in Annales de l'institut Fourier