The antonyms for the phrase "read up on" are neglect, ignore, overlook, disregard, and dismiss. Neglect implies failing to pay enough attention or care. Ignore suggests not acknowledging or responding to something. Overlook involves not noticing something significant. Disregard means treating something as unimportant or irrelevant. Finally, dismiss means rejecting something as unworthy of consideration. It is essential to remember that these antonyms should not be confused with synonyms, which include research, study, learn, and investigate. Therefore, it is crucial to choose the right words to convey the intended meaning effectively.