Topological Quantum Field Theory and the Nielsen–Thurston classification of $M(0,4)$
Topological Quantum Field Theory and the Nielsen–Thurston classification of $M(0,4)$
We show that the Nielsen–Thurston classification of mapping classes of the sphere with four marked points is determined by the quantum -TQFT representation matrices. It follows that at big enough levels, Pseudo–Anosov mapping classes are represented by matrices of infinite order.