3 problems

Fractional-statistics emergence conjecture. As $N\to+\infty$, the identity

Tracer-particle reduction conjecture. All the physics boils down to the motion of the tracer particles, with the tracer wave function governed by the effective Hamiltonian…

Let $m$ be the Laughlin parameter, and let $\xi,\xi'$ be fixed complex quasi-hole positions. For the normalized one- and two-quasi-hole wave functions, write $N(\xi,\xi^*)$ and…