Cusp volume of fibered 3-manifolds

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David Futer, Temple University
Fine Hall 314

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.