A five dimensional field theory is introduced which is an analogue of three dimensional Chern-Simons theory. The reduced phase space in the theory is a moduli phase of instantons in four dimensional Euclidean gauge theory, with a symplectic structure induced by the Donaldson u-map. Issues related to quantization are discussed.
Nair, V. P. and Schiff, Jeremy, "A Kähler-Chern-Simons Theory and Quantization of Instanton Moduli Spaces" (1990). CUNY Academic Works.