Is the emulsification cataract surgery done under topical anesthsia?

Yes: The procedure can be done just with topical anesthesia with eye drop local anesthetics or local anesthesia gel. Some of the older ophthalmologists still use a retro bulbar block to numb the eye which may require some IV sedation.

Yes: Typically yes. It can vary depending on the preference of your surgeon or coexisting pathology of the eye.

Yes, most often yes.: Cataract surgery can be done under topical, peribulbar, or general anesthesia. More info at eyedoc2020@blogspot.com