Topological Phases of Matter: Quantum Hall Effects, Topological Insulators, TQFT, and Anyons

Topological phases represent one of modern physics' most profound breakthroughs - where quantum mechanics and geometry intertwine to create matter with memory. This book unveils the elegant mathematics behind materials that remember their past and protect their future.

✨ **What's Inside?**
✔ **Landau levels & Chern numbers** - The quantum Hall effect's secret language
✔ **TKNN invariant & edge states** - Why topology creates perfect conductors
✔ **Abelian/non-Abelian anyons** - Particles with "quantum memory"
✔ **Chern-Simons theory** - The field theory of topological order
✔ **Kitaev's 16-fold way** - A periodic table for topological phases

**Why This Book?**
Because topology is rewriting the rules of materials science - from fault-tolerant quantum computers to fundamentally new states of matter. Here's your map to this revolution.