Filtering by: Creator Fuller, Terry Remove constraint Creator: Fuller, Terry Resource type Article Remove constraint Resource type: Article
ArticleFuller, TerryLet M be a smooth 4-manifold which admits a relatively minimal hyperelliptic genus h Lefschetz fibration over S2. If all of the vanishing cycles for this fibration are nonseparating curves, then we show that M is a 2-fold cover of an S2-bundle over S2 . . .
ArticleEtnyre, John B.We show that any 4-manifold, after surgery on a curve, admits an achiral Lefschetz fibration. In particular, if X is a simply connected 4-manifold we show that X#S 2 × S 2 and X#S 2×eS 2 both admit achiral Lefschetz fibrations. We also show these surg . . .