Complexity of surgery manifolds and Cheeger-Gromov invariants
arXiv:1506.00758
Abstract
We present new lower bounds on the complexity of Dehn surgery manifolds of knots, using our recent result on the Cheeger-Gromov rho invariants and triangulations. As an application, we give explicit examples of closed hyperbolic 3-manifolds with fixed first homology for which the gap between the Gromov norm and the complexity is arbitrarily large.
10 pages, 4 figures. Part of this paper is from an earlier version of arXiv:1405.1805