What anesthesia is used for the operation and what is the duration of the convalescence?

Unclear. The type of anesthesia used will depend on the kind of surgery being performed as well as specifics of your medical conditions. Likewise the convalescence will depend mainly on the type of surgery. Anesthesia itself wears off within several hours of surgery, for most anesthetics.
Need more info. To what operation are you referring? What is your specific question?
Not enough info. I am sorry your question is difficult to answer. The anesthetic depends on what surgery is done. The convalescence also depends on what surgery is done.
Specify. You must specify the type of operation before an opinion on the duration of convalescence can be given.