Prompt
"Generate an image representing the Atiyah–Singer index theorem, a fundamental concept in differential geometry and topology. The image should feature a compact manifold with an elliptic differential operator, symbolically illustrating the equality of the analytical and topological indices. Incorporate subtle hints at its applications in mathematical physics, quantum field theory, and K-theory, such as abstract algebraic symbols or structures in the background. The style should be abstract yet mathematically elegant, conveying the deep connections between analysis, geometry, and topology."
