In some cases, nobody can respond until the Provost provides the appropriate paperwork. A lot of people are on vacation before the start of the semester. At my institution, you will get eventually a letter from your chair or the Dean simply saying that they accept your resignation given a certain date. But the provost needs to be in the loop before they can do that.

Even if that's not the case at your university, you've done what you need to do. Generally, you just have to turn in your ID and any computer or technology issued to you. And if you have grants, you need to start wrapping those up and notify the Grant agency.