Generators, Relations and Symmetries in Pairs of 3x3 Unimodular Matrices

Sean Lawton

Denote the free group on two letters by F2 and the SL(3,C)-representation variety of F2 by R = Hom(F2, SL(3,C)). There is a SL(3,C)-action on the coordinate ring of R, and the geom…