We show that for almost all primitive integral cohomology classes in the fibred cone of a closed fibred hyperbolic 3-manifold, the monodromy normally generates the mapping class group of the fibre. The key idea of the proof is to use Fried’s theory of suspension flow and dynamic blow-up of Mosher. If the time permits, we also discuss the non-existence of the analogue of Fried’s continuous extension of the normalized entropy over the fibered face in the case of asymptotic translation lengths on the curve complex.
This talk is based on joint work with Eiko Kin, Hyunshik Shin and Chenxi Wu.
This video was produced by Newcastle University, Australia, as part of the Symmetries in Newcastle seminar series.
