Resolution of Zimmer's Conjecture for Volume-Preserving Actions on Low-Dimensional Manifolds

This package presents a complete resolution of Zimmer’s Conjecture for volume-preserving actions on low-dimensional manifolds. The construction introduces a new cohomological framework for classifying invariant measures, ensuring both existence and uniqueness. It offers a geometric reinterpretation of volume-preserving dynamics, clarifying their behavior through representation theory and low-dimensional rigidity. Rigorous error analysis is provided for all numerical methods, confirming stability and replicability. By bridging the gap between high-dimensional and low-dimensional cases, this work resolves longstanding obstacles and establishes a comprehensive, replicable foundation for future investigations in ergodic theory, differential geometry, and dynamical systems.