Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus

Abstract

Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic element is not ergodic.

36 pages, 4 figures, accepted for publication in the journal Annales Henri Lebesgue

References in corpus (4)

• The topology of moduli spaces of free group representations
• Poisson Geometry of SL(3,C)-Character Varieties Relative to a Surface with Boundary
• Poisson maps between character varieties: gluing and capping
• Dynamics on nilpotent character varieties

Cited by in corpus (1)

• Dynamics on the SU(2,1)-character variety of the one-holed torus