Virtual Betti numbers of genus 2 bundles
Joseph D Masters
Abstract
We show that if M is a surface bundle over S1 with fiber of genus 2, then for any integer n, M has a finite cover tilde(M) with b1(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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