A multivariable Casson–Lin type invariant

Benard, Leo; Conway, Anthony

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.

Citation

Benard, L., & Conway, A. (2020). A multivariable Casson–Lin type invariant. Annales de l'Institut Fourier, 70(3), 1029-1084. https://doi.org/10.5802/aif.3330

• Journal Article Type: Article
• Acceptance Date: Sep 18, 2019
• Online Publication Date: Jun 26, 2020
• Publication Date: 2020
• Deposit Date: Oct 7, 2020
• Publicly Available Date: Oct 7, 2020
• Journal: Annales de l'Institut Fourier
• Print ISSN: 0373-0956
• Electronic ISSN: 1777-5310
• Publisher: Association des Annales de l'Institut Fourier
• Peer Reviewed: Peer Reviewed
• Volume: 70
• Issue: 3
• Pages: 1029-1084
• DOI: https://doi.org/10.5802/aif.3330
• Public URL: https://durham-repository.worktribe.com/output/1260815