The Bénard–Conway invariant of two-component links
Abstract
The Bénard-Conway invariant of links in the 3-sphere is a Casson-Lin type invariant defined by counting irreducible SU.2/-representations of the link group with fixed meridional traces.For two-component links with linking number one, the invariant has been shown to equal a symmetrized multivariable link signature.We extend this result to all two-component links with nonzero linking number.A key ingredient in the proof is an explicit calculation of the Bénard-Conway invariant for .2 ; 2`/-torus links with the help of Chebyshev polynomials.
Fields of Study & Subjects
Geometric and Algebraic Topology
Quantum chaos and dynamical systems
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Volume
- 341
- Issue
- 2
- Pages
- 379–401
- Publication date
- 23 March 2026
- Language
- EN