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  • Xg94hs88v?file=thumbnail
    Etnyre, 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 . . .
  • Gq67jv038?file=thumbnail
    Fuller, Terry
    Let 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 . . .