A multivariable Casson-Lin type invariant

2018/05/08 by Bénard, Léo, Conway, Anthony
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1805.03050

Abstract

We introduce a multivariable Casson-Lin type invariant for links in S³. This invariant is defined as a signed count of irreducible SU(2) 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 SU(2) representations of link groups.

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