My husband and I have been married for a year and a half. We dated for about 4 years then got married. Recently he confessed to me that he cheated for a year in the beginning of the relationship.he is in constant contact with that same person. He calls her sometimes. He signs in online to chat with her all the time. It seems like he just can't get past her even if we're married. He's constantly saying to me that they don't have a relationship and that happened over 3/4 years ago.I'm I wrong to feel that they shouldn't be communicating? I think that he still has feelings for her. I can't get pass the past. I think about this everyday. What should I do?

It is wrong for them to still be communicating, he shouldd stop NOW, if he has to, stop using the computer if he has no self control

I'd tell him he needs to decide if he wants to be married or be with her because you will not tolerate his constant communication with this woman. In fact, he is still cheating on you and your marriage.
You have every right to be upset.

I don't think that it is acceptable for him to be in contact with someone he cheated with when he was with you.

It's like throwing it in your face isn't it? Not only did he cheat on you with her, but he's still friendly with her.

If the marriage and your feelings are important to him, then he should listen to your concerns and stop contacting her.

You need to let him know that this is very upsetting and unsettling for you and ask him, for the sake of your relationship, to stop all contact.

If he refuses, then sadly you know what is more important to him.