"Go quest of" is an idiomatic expression used to describe the act of searching for something with the intention of finding it. The opposite of this action would be to give up, abandon the search, or to stop looking for something. The antonyms of "go quest of" could be categorized as the following: 1) Discontinue, 2) Surrender, 3) Neglect, 4) Ignore, and 5) Abandon. These words can be used depending on the situation and the context of the sentence. For example, "After hours of searching, I decided to discontinue my quest for the missing key." Conversely, "I resolved not to neglect my quest for knowledge, no matter how difficult the journey.