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Geometry of SU(3)-character varieties of torus knots

dc.contributor.authorGonzález-Prieto, Ángel
dc.contributor.authorMartínez, Javier
dc.contributor.authorMuñoz, Vicente
dc.identifier.citationÁngel González-Prieto, Javier Martínez, Vicente Muñoz, Geometry of SU(3)-character varieties of torus knots, Topology and its Applications, Volume 339, Part A, 2023, 108586, ISSN 0166-8641,
dc.description.abstractWe describe the geometry of the character variety of representations of the knot group Γm,n = x, y|xn = ym into the group SU(3), by stratifying the character variety into strata corresponding to totally reducible representations, representations decomposing into a 2-dimensional and a 1-dimensional representation, and irreducible representations, the latter of two types depending on whether the matrices have distinct eigenvalues, or one of the matrices has one eigenvalue of multiplicity 2. We describe how the closure of each stratum meets lower strata, and use this to compute the compactly supported Euler characteristic, and to prove that the inclusion of the character variety for SU(3) into the character variety for SL(3, C) is a homotopy
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.subjectTorus knotses
dc.subjectCharacter varietyes
dc.subjectRepresentation varietieses
dc.subjectUnitary groupes
dc.titleGeometry of SU(3)-character varieties of torus knotses

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Attribution-NonCommercial-NoDerivatives 4.0 InternacionalExcept where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional