Fractional Quantum Hall Anyons via the Algebraic Topology of Surplus Flux Quanta
This research proposes a new mathematical framework using 2-Cohomotopy theory to describe Fractional Quantum Hall (FQH) systems. The goal was to find a non-Lagrangian way to analyze topological order and anyonic statistics. The study successfully validated the theory against known results while predicting novel features, such as how non-abelian braiding statistics might arise from material defects.