Depends on the agreement and whether it overrides an "at will" general employment. Many don't, but some do. That's why I still suggest you take the whole agreement to a local attorney, because no one on here has seen the whole agreement. While you may not think there are any protection to them, if you want to be safe, that's what I would do. And the attorney can tell you what the worst could be.
While I agree with llworking in most cases that employment is "at will", you have a written agreement that may or may not be enforceable.
And even if they only provide dates and titles as references, they can still say you left with no notice if you do. Or they can state they terminated you for failure to give notice rather than you resigned with a full two weeks notice. That might not be a big enough consequence to stay for the two weeks. Only you can decide that.

