Open book techniques for non-fibered links

Fibered links are those whose complement admits a fibration over the circle. They admit a simple description in terms of an open book, consisting of a fiber surface together with a self-diffeomorphism (called the monodromy), which is the return map of the fibration. This structure allows us to prove several results for fibered links. In this talk I will explain how to extend the concept of monodromy to all links, and show that it can be used to extend previous results to non-fibered links.