Abstract
We show that if is a surface bundle over with fiber of genus 2, then for any integer , has a finite cover with . A corollary is that can be geometrized using only the “non-fiber" case of Thurston’s Geometrization Theorem for Haken manifolds.
Citation
Joseph D Masters. "Virtual Betti numbers of genus 2 bundles." Geom. Topol. 6 (2) 541 - 562, 2002. https://doi.org/10.2140/gt.2002.6.541
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