Thank you, CalifJim, Khoff and Eimai_Anglos.
I think I made a mistake -- yes, it should be a "gerund" and not "genitive."
I did some reseach on my own and I think I have gotten the following Google search results:
"a cutting of" 29,200 hits
"a shaking of" 29,700 hits
"a mixing of"...