Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus
Annales Henri Lebesgue, Volume 7 (2024), pp. 1099-1130.

Metadata

Keywords KAM Theory, Non-ergodicity, Character Variety

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.


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