Virtual Betti numbers of genus 2 bundles

Details Virtual Betti numbers of genus 2 bundles Virtual Betti numbers of genus 2 bundles

2002-01-14

arxiv.org/abs/math/0201118v2

Geom. Topol. 6(2002) 541-562

Mathematics

Geometric Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper19.abs.html

Scientific paper

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.

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