On hyperbolic 3-manifolds with an infinite number of fibrations over S1

Abstract

W. P. Thurston [Mem. Amer. Math. Soc. 59 (1986), no. 339, i–vi and 99–130;] showed that if a hyperbolic 3-manifold with b1>1 fibers over S1, then it fibers in infinitely many different ways. In this paper, the authors consider a certain family of hyperbolic manifolds, obtained as branched covers of the 3-torus. They show explicitly that each manifold in this family has infinitely many different fibrations.