Virtual Betti numbers of genus 2 bundles
Geometric Topology
2014-11-11 v2
Abstract
We show that if M is a surface bundle over S^1 with fiber of genus 2, then for any integer n, M has a finite cover tilde(M) with b_1(tilde(M)) > n. A corollary is that M can be geometrized using only the `non-fiber' case of Thurston's Geometrization Theorem for Haken manifolds.
Cite
@article{arxiv.math/0201118,
title = {Virtual Betti numbers of genus 2 bundles},
author = {Joseph D Masters},
journal= {arXiv preprint arXiv:math/0201118},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper19.abs.html