Rank gradients of infinite cyclic covers of 3-manifolds
arXiv:1212.4192
Abstract
Given a 3-manifold M with no spherical boundary components, and a primitive class ϕin H^1(M;Z), we show that the following are equivalent: (1) ϕis a fibered class, (2) the rank gradient of (M,ϕ) is zero, (3) the Heegaard gradient of (M,ϕ) is zero.
arXiv comment17 pages, minor updates and modifications, to be published by the Mich Math J