WordNet sense 1 (the omission that is made when an editorial change shortens a written passage):

cut, deletion

WordNet sense 2 (surgical removal of a body part or tissue):

ablation, extirpation, cutting out

WordNet sense 3 (the act of banishing a member of a church from the communion of believers and the privileges of the church; cutting a person off from a religious society):

excommunication

WordNet sense 4 (the act of pulling up or out; uprooting; cutting off from existence):

deracination