Invariant and equivariant cohomology classes on the space of Kähler forms are defined. Relations to the obstructions to the existence of Kähler-Einstein metrics and Kähler metrics of harmonic Chern forms are discussed.
Akito Futaki. "Some invariant and equivariant cohomology classes of the space of Kähler metrics." Proc. Japan Acad. Ser. A Math. Sci. 78 (3) 27 - 29, March 2002. https://doi.org/10.3792/pjaa.78.27