Title: Cusp volume of fibered 3-manifolds

David Futer, Temple Univ.

Abstract: Consider a 3-manifold M that fibers over the circle, with fiber a punctured surface F. I will explain how the volume of a maximal cusp of M (in the hyperbolic metric) is determined up to a bounded, explicit constant by combinatorial properties of arcs in the fiber surface F. This is joint work with Saul Schleimer.