### University of Arkansas Topology Seminar: 10/24/2013

### Speaker: Yo'av Rieck

### Title: Strong cylindricality and the monodromy of bundles

Abstract: In this talk we will analyze fibers of
3-manifolds that fiber over *S*^{1}. We will show that
if the genus of the fiber is at least 38*t* (where *t* is
the number of tetrahedra required to construct the manifold) then the
fiber is strongly cylindrical (the term will be defined in the talk).
In particular, this implies that the translation distance induced by
the monodromy on the curve complex of the fiber is at most 1.

The talk is based on joint work with Kazuhiro
Ichihara (Nihon University) and Tsuyoshi Kobayashi (Nara Women's
University).

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