Fractional Statistics in Quantum Hall Effect
摘要
The quantum Hall effect is an important physical phenomenon which has been analyzed both theoretically and experimentally for a few decades by now. In this chapter, we discuss this effect in relation to geometric quantization. We will also see how fractional statistics for quasiparticles is related to nontrivial \(\mathcal {H}^1(M, \mathbb {R})\) of the phase space.