10/22/2009

David Futer
Temple University

Cusp volume of fibered 3-manifolds

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 constant by combinatorial properties of the arc complex of the fiber surface F. This is joint work with Saul Schleimer.