Topological aspects of quantum Hall fluid and Berry phase

We have analyzed here the recent development towards our understanding of t he Integral and Fractional Quantum Hall effect. It has been pointed out tha t the chiral anomaly and Berry phase approach embraces in a unified way the whole spectrum of quantum Hall systems with their various characteristic f eatures. This formalism also helps us to understand the edge states observe d in Hall fluids. It is argued that Hall fluids with even denominator filli ng factor leads to the non-Abelian Berry phase.