It depends on what you mean by have little if any communication as well as whether paternity has been established. Ohio has a presumption of joint custody and if custody is filed, dad may very likely be awarded joint custody so that you will have to communicate with him. You should communicate with him about his child -- if she is hospitalized, if you are moving with the child, and various other important aspects. You do not have to best friends. Legally without court orders you don't necessarily have to communicate at all however if you were to move without letting him know and he filed for custody, he could win by default if he filed and served you at your last known address. There are issues that arise. Truthfully more details would be necessary.