Geometry of the SL(3,ℂ)-character variety of torus knots.

Muñoz, VicentePorti, J.2023-06-182023-06-1820161472-274710.2140/agt.2016.16.397https://hdl.handle.net/20.500.14352/24493Let G be the fundamental group of the complement of the torus knot of type (m, n). It has a presentation G = <x, y | xm = yn>. We find a geometric description of the character variety X(G) of characters of representations of G into SL(3,ℂ), GL(3,ℂ) and PGL(3,ℂ).engGeometry of the SL(3,ℂ)-character variety of torus knots.journal articlehttp://msp.org/agt/2016/16-1/agt-v16-n1-p09-s.pdfhttp://msp.org/agt/open access514Torus knotCharactersRepresentationsGeometría1204 Geometría