What should an author expect from a publisher in the way of promotion?
What’s the best way to promote a book?
Depends on the book, the genre, the target audience. There are a few suggestions in the links above. But in addition to this, brainstorm. Look at what others are doing and adapt them to your situation. But don’t be a Nathan Newauthor. DISCUSS the possibilities with your publisher and TOGETHER decide what will work best.