Wu–Yang dictionary

In topology and high energy physics, the Wu–Yang dictionary refers to the mathematical identification that allows back-and-forth translation between the concepts of gauge theory and those of differential geometry. It was devised by Tai Tsun Wu and C. N. Yang in 1975 when studying the relation between electromagnetism and fiber bundle theory. This dictionary has been credited as bringing mathematics and theoretical physics closer together.

A crucial example of the success of the dictionary is that it allowed the understanding of monopole quantization in terms of Hopf fibrations.