Mathematics > Geometric Topology
[Submitted on 8 May 2018 (v1), last revised 20 Sep 2019 (this version, v2)]
Title:A multivariable Casson-Lin type invariant
View PDFAbstract:We introduce a multivariable Casson-Lin type invariant for links in $S^3$. This invariant is defined as a signed count of irreducible $\operatorname{SU}(2)$ 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 $\operatorname{SU}(2)$ representations of link groups.
Submission history
From: Anthony Conway [view email][v1] Tue, 8 May 2018 14:19:48 UTC (143 KB)
[v2] Fri, 20 Sep 2019 12:26:26 UTC (147 KB)
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