Invariants of pairs in SL(4,C) and SU(3,1)

Abstract

We describe a minimal global coordinate system of order 30 on the SL(4,C)-character variety of a rank 2 free group. Using symmetry within this system, we obtain a smaller collection of 22 coordinates subject to 5 further real relations that determine conjugation classes of generic pairs of matrices in SU(3,1).

15 pages, minor revisions, to appear in the Proceedings of the AMS

References in corpus (3)

• The topology of moduli spaces of free group representations
• Minimal Affine Coordinates for SL(3,C) Character Varieties of Free Groups
• Homotopy Groups of Free Group Character Varieties

Cited by in corpus (3)

• Rank 1 character varieties of finitely presented groups
• Character varieties for real forms
• Local coordinates for complex and quaternionic hyperbolic pairs